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Finding the Fourth Proportional to 561.54, 840.72 and 424.16

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Solution

The fourth proportional to 561.54, 840.72 and 424.16 is: 635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.54 : 840.72 = 424.16 : x
  2. Step 2: Convert to fraction form
    561.54/840.72 = 424.16/x
  3. Step 3: Cross multiply
    561.54x = 840.72 × 424.16
  4. Step 4: Simplify right side
    561.54x = 356,599.80
  5. Step 5: Solve for x
    x = 356,599.80/561.54
  6. Step 6: Final answer
    x = 635.04

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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.