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Finding the Fourth Proportional to 566.48, 781.80 and 370.10

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Solution

The fourth proportional to 566.48, 781.80 and 370.10 is: 510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.48 : 781.80 = 370.10 : x
  2. Step 2: Convert to fraction form
    566.48/781.80 = 370.10/x
  3. Step 3: Cross multiply
    566.48x = 781.80 × 370.10
  4. Step 4: Simplify right side
    566.48x = 289,344.18
  5. Step 5: Solve for x
    x = 289,344.18/566.48
  6. Step 6: Final answer
    x = 510.78

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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.