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Finding the Fourth Proportional to 561.12, 841.84 and 439.08

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Solution

The fourth proportional to 561.12, 841.84 and 439.08 is: 658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 841.84 = 439.08 : x
  2. Step 2: Convert to fraction form
    561.12/841.84 = 439.08/x
  3. Step 3: Cross multiply
    561.12x = 841.84 × 439.08
  4. Step 4: Simplify right side
    561.12x = 369,635.11
  5. Step 5: Solve for x
    x = 369,635.11/561.12
  6. Step 6: Final answer
    x = 658.75

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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.