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Finding the Fourth Proportional to 462.24, 637.98 and 364.74

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Solution

The fourth proportional to 462.24, 637.98 and 364.74 is: 503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 637.98 = 364.74 : x
  2. Step 2: Convert to fraction form
    462.24/637.98 = 364.74/x
  3. Step 3: Cross multiply
    462.24x = 637.98 × 364.74
  4. Step 4: Simplify right side
    462.24x = 232,696.83
  5. Step 5: Solve for x
    x = 232,696.83/462.24
  6. Step 6: Final answer
    x = 503.41

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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.