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Finding the Fourth Proportional to 561.29, 841.46 and 439.16

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Solution

The fourth proportional to 561.29, 841.46 and 439.16 is: 658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.29 : 841.46 = 439.16 : x
  2. Step 2: Convert to fraction form
    561.29/841.46 = 439.16/x
  3. Step 3: Cross multiply
    561.29x = 841.46 × 439.16
  4. Step 4: Simplify right side
    561.29x = 369,529.17
  5. Step 5: Solve for x
    x = 369,529.17/561.29
  6. Step 6: Final answer
    x = 658.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.