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Finding the Fourth Proportional to 557.40, 769.14 and 410.10

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Solution

The fourth proportional to 557.40, 769.14 and 410.10 is: 565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 769.14 = 410.10 : x
  2. Step 2: Convert to fraction form
    557.40/769.14 = 410.10/x
  3. Step 3: Cross multiply
    557.40x = 769.14 × 410.10
  4. Step 4: Simplify right side
    557.40x = 315,424.31
  5. Step 5: Solve for x
    x = 315,424.31/557.40
  6. Step 6: Final answer
    x = 565.89

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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.