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Finding the Fourth Proportional to 454.47, 627.37 and 307.19

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Solution

The fourth proportional to 454.47, 627.37 and 307.19 is: 424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.47 : 627.37 = 307.19 : x
  2. Step 2: Convert to fraction form
    454.47/627.37 = 307.19/x
  3. Step 3: Cross multiply
    454.47x = 627.37 × 307.19
  4. Step 4: Simplify right side
    454.47x = 192,721.79
  5. Step 5: Solve for x
    x = 192,721.79/454.47
  6. Step 6: Final answer
    x = 424.06

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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.