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Finding the Fourth Proportional to 930.48, 1,394.96 and 410.10

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Solution

The fourth proportional to 930.48, 1,394.96 and 410.10 is: 614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.48 : 1,394.96 = 410.10 : x
  2. Step 2: Convert to fraction form
    930.48/1,394.96 = 410.10/x
  3. Step 3: Cross multiply
    930.48x = 1,394.96 × 410.10
  4. Step 4: Simplify right side
    930.48x = 572,073.10
  5. Step 5: Solve for x
    x = 572,073.10/930.48
  6. Step 6: Final answer
    x = 614.82

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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.