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Finding the Fourth Proportional to 458.70, 631.50 and 384.90

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Solution

The fourth proportional to 458.70, 631.50 and 384.90 is: 529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 631.50 = 384.90 : x
  2. Step 2: Convert to fraction form
    458.70/631.50 = 384.90/x
  3. Step 3: Cross multiply
    458.70x = 631.50 × 384.90
  4. Step 4: Simplify right side
    458.70x = 243,064.35
  5. Step 5: Solve for x
    x = 243,064.35/458.70
  6. Step 6: Final answer
    x = 529.90

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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.