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Finding the Fourth Proportional to 456.60, 630.06 and 309.18

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Solution

The fourth proportional to 456.60, 630.06 and 309.18 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 630.06 = 309.18 : x
  2. Step 2: Convert to fraction form
    456.60/630.06 = 309.18/x
  3. Step 3: Cross multiply
    456.60x = 630.06 × 309.18
  4. Step 4: Simplify right side
    456.60x = 194,801.95
  5. Step 5: Solve for x
    x = 194,801.95/456.60
  6. Step 6: Final answer
    x = 426.64

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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.