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Finding the Fourth Proportional to 374.52, 557.70 and 364.44

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Solution

The fourth proportional to 374.52, 557.70 and 364.44 is: 542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.52 : 557.70 = 364.44 : x
  2. Step 2: Convert to fraction form
    374.52/557.70 = 364.44/x
  3. Step 3: Cross multiply
    374.52x = 557.70 × 364.44
  4. Step 4: Simplify right side
    374.52x = 203,248.19
  5. Step 5: Solve for x
    x = 203,248.19/374.52
  6. Step 6: Final answer
    x = 542.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.