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Finding the Fourth Proportional to 628.80, 947.36 and 542.40

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Solution

The fourth proportional to 628.80, 947.36 and 542.40 is: 817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.80 : 947.36 = 542.40 : x
  2. Step 2: Convert to fraction form
    628.80/947.36 = 542.40/x
  3. Step 3: Cross multiply
    628.80x = 947.36 × 542.40
  4. Step 4: Simplify right side
    628.80x = 513,848.06
  5. Step 5: Solve for x
    x = 513,848.06/628.80
  6. Step 6: Final answer
    x = 817.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.