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Finding the Fourth Proportional to 586.72, 809.36 and 387.30

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Solution

The fourth proportional to 586.72, 809.36 and 387.30 is: 534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 809.36 = 387.30 : x
  2. Step 2: Convert to fraction form
    586.72/809.36 = 387.30/x
  3. Step 3: Cross multiply
    586.72x = 809.36 × 387.30
  4. Step 4: Simplify right side
    586.72x = 313,465.13
  5. Step 5: Solve for x
    x = 313,465.13/586.72
  6. Step 6: Final answer
    x = 534.27

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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.