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Finding the Fourth Proportional to 585.48, 807.48 and 498

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Solution

The fourth proportional to 585.48, 807.48 and 498 is: 686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.48 : 807.48 = 498 : x
  2. Step 2: Convert to fraction form
    585.48/807.48 = 498/x
  3. Step 3: Cross multiply
    585.48x = 807.48 × 498
  4. Step 4: Simplify right side
    585.48x = 402,125.04
  5. Step 5: Solve for x
    x = 402,125.04/585.48
  6. Step 6: Final answer
    x = 686.83

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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.