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Finding the Fourth Proportional to 561.24, 839.70 and 507.24

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Solution

The fourth proportional to 561.24, 839.70 and 507.24 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 839.70 = 507.24 : x
  2. Step 2: Convert to fraction form
    561.24/839.70 = 507.24/x
  3. Step 3: Cross multiply
    561.24x = 839.70 × 507.24
  4. Step 4: Simplify right side
    561.24x = 425,929.43
  5. Step 5: Solve for x
    x = 425,929.43/561.24
  6. Step 6: Final answer
    x = 758.91

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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.