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Finding the Fourth Proportional to 562.37, 776.16 and 429.37

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Solution

The fourth proportional to 562.37, 776.16 and 429.37 is: 592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.37 : 776.16 = 429.37 : x
  2. Step 2: Convert to fraction form
    562.37/776.16 = 429.37/x
  3. Step 3: Cross multiply
    562.37x = 776.16 × 429.37
  4. Step 4: Simplify right side
    562.37x = 333,256.27
  5. Step 5: Solve for x
    x = 333,256.27/562.37
  6. Step 6: Final answer
    x = 592.60

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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.