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Finding the Fourth Proportional to 569.95, 786.54 and 345.89

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Solution

The fourth proportional to 569.95, 786.54 and 345.89 is: 477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 786.54 = 345.89 : x
  2. Step 2: Convert to fraction form
    569.95/786.54 = 345.89/x
  3. Step 3: Cross multiply
    569.95x = 786.54 × 345.89
  4. Step 4: Simplify right side
    569.95x = 272,053.21
  5. Step 5: Solve for x
    x = 272,053.21/569.95
  6. Step 6: Final answer
    x = 477.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.