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Finding the Fourth Proportional to 562.96, 840.02 and 498.16

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Solution

The fourth proportional to 562.96, 840.02 and 498.16 is: 743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.96 : 840.02 = 498.16 : x
  2. Step 2: Convert to fraction form
    562.96/840.02 = 498.16/x
  3. Step 3: Cross multiply
    562.96x = 840.02 × 498.16
  4. Step 4: Simplify right side
    562.96x = 418,464.36
  5. Step 5: Solve for x
    x = 418,464.36/562.96
  6. Step 6: Final answer
    x = 743.33

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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.