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Finding the Fourth Proportional to 565, 847.14 and 402.28

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Solution

The fourth proportional to 565, 847.14 and 402.28 is: 603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 847.14 = 402.28 : x
  2. Step 2: Convert to fraction form
    565/847.14 = 402.28/x
  3. Step 3: Cross multiply
    565x = 847.14 × 402.28
  4. Step 4: Simplify right side
    565x = 340,787.48
  5. Step 5: Solve for x
    x = 340,787.48/565
  6. Step 6: Final answer
    x = 603.16

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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.