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Finding the Fourth Proportional to 586.92, 809.96 and 354

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Solution

The fourth proportional to 586.92, 809.96 and 354 is: 488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.92 : 809.96 = 354 : x
  2. Step 2: Convert to fraction form
    586.92/809.96 = 354/x
  3. Step 3: Cross multiply
    586.92x = 809.96 × 354
  4. Step 4: Simplify right side
    586.92x = 286,724.07
  5. Step 5: Solve for x
    x = 286,724.07/586.92
  6. Step 6: Final answer
    x = 488.52

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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.