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Finding the Fourth Proportional to 457.18, 630.39 and 368.62

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Solution

The fourth proportional to 457.18, 630.39 and 368.62 is: 508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.18 : 630.39 = 368.62 : x
  2. Step 2: Convert to fraction form
    457.18/630.39 = 368.62/x
  3. Step 3: Cross multiply
    457.18x = 630.39 × 368.62
  4. Step 4: Simplify right side
    457.18x = 232,374.36
  5. Step 5: Solve for x
    x = 232,374.36/457.18
  6. Step 6: Final answer
    x = 508.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.