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Finding the Fourth Proportional to 585.76, 807.94 and 497.83

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Solution

The fourth proportional to 585.76, 807.94 and 497.83 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.76 : 807.94 = 497.83 : x
  2. Step 2: Convert to fraction form
    585.76/807.94 = 497.83/x
  3. Step 3: Cross multiply
    585.76x = 807.94 × 497.83
  4. Step 4: Simplify right side
    585.76x = 402,216.77
  5. Step 5: Solve for x
    x = 402,216.77/585.76
  6. Step 6: Final answer
    x = 686.66

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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.