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Finding the Fourth Proportional to 569.54, 854.42 and 294.95

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Solution

The fourth proportional to 569.54, 854.42 and 294.95 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.54 : 854.42 = 294.95 : x
  2. Step 2: Convert to fraction form
    569.54/854.42 = 294.95/x
  3. Step 3: Cross multiply
    569.54x = 854.42 × 294.95
  4. Step 4: Simplify right side
    569.54x = 252,011.84
  5. Step 5: Solve for x
    x = 252,011.84/569.54
  6. Step 6: Final answer
    x = 442.48

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.