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Finding the Fourth Proportional to 402.66, 601.65 and 355.14

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Solution

The fourth proportional to 402.66, 601.65 and 355.14 is: 530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.66 : 601.65 = 355.14 : x
  2. Step 2: Convert to fraction form
    402.66/601.65 = 355.14/x
  3. Step 3: Cross multiply
    402.66x = 601.65 × 355.14
  4. Step 4: Simplify right side
    402.66x = 213,669.98
  5. Step 5: Solve for x
    x = 213,669.98/402.66
  6. Step 6: Final answer
    x = 530.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.