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Finding the Fourth Proportional to 586.90, 809.42 and 497.67

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Solution

The fourth proportional to 586.90, 809.42 and 497.67 is: 686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 809.42 = 497.67 : x
  2. Step 2: Convert to fraction form
    586.90/809.42 = 497.67/x
  3. Step 3: Cross multiply
    586.90x = 809.42 × 497.67
  4. Step 4: Simplify right side
    586.90x = 402,824.05
  5. Step 5: Solve for x
    x = 402,824.05/586.90
  6. Step 6: Final answer
    x = 686.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.