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Finding the Fourth Proportional to 630.24, 870.25 and 409.57

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Solution

The fourth proportional to 630.24, 870.25 and 409.57 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.24 : 870.25 = 409.57 : x
  2. Step 2: Convert to fraction form
    630.24/870.25 = 409.57/x
  3. Step 3: Cross multiply
    630.24x = 870.25 × 409.57
  4. Step 4: Simplify right side
    630.24x = 356,428.29
  5. Step 5: Solve for x
    x = 356,428.29/630.24
  6. Step 6: Final answer
    x = 565.54

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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.