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Finding the Fourth Proportional to 569.95, 855.36 and 296.02

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Solution

The fourth proportional to 569.95, 855.36 and 296.02 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 855.36 = 296.02 : x
  2. Step 2: Convert to fraction form
    569.95/855.36 = 296.02/x
  3. Step 3: Cross multiply
    569.95x = 855.36 × 296.02
  4. Step 4: Simplify right side
    569.95x = 253,204.74
  5. Step 5: Solve for x
    x = 253,204.74/569.95
  6. Step 6: Final answer
    x = 444.26

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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.