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Finding the Fourth Proportional to 482.78, 723.62 and 374.24

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Solution

The fourth proportional to 482.78, 723.62 and 374.24 is: 560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.78 : 723.62 = 374.24 : x
  2. Step 2: Convert to fraction form
    482.78/723.62 = 374.24/x
  3. Step 3: Cross multiply
    482.78x = 723.62 × 374.24
  4. Step 4: Simplify right side
    482.78x = 270,807.55
  5. Step 5: Solve for x
    x = 270,807.55/482.78
  6. Step 6: Final answer
    x = 560.93

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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.