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Finding the Fourth Proportional to 457.74, 631.53 and 258.54

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Solution

The fourth proportional to 457.74, 631.53 and 258.54 is: 356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 631.53 = 258.54 : x
  2. Step 2: Convert to fraction form
    457.74/631.53 = 258.54/x
  3. Step 3: Cross multiply
    457.74x = 631.53 × 258.54
  4. Step 4: Simplify right side
    457.74x = 163,276.40
  5. Step 5: Solve for x
    x = 163,276.40/457.74
  6. Step 6: Final answer
    x = 356.70

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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.