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Finding the Fourth Proportional to 542.19, 747.30 and 423.93

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Solution

The fourth proportional to 542.19, 747.30 and 423.93 is: 584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.19 : 747.30 = 423.93 : x
  2. Step 2: Convert to fraction form
    542.19/747.30 = 423.93/x
  3. Step 3: Cross multiply
    542.19x = 747.30 × 423.93
  4. Step 4: Simplify right side
    542.19x = 316,802.89
  5. Step 5: Solve for x
    x = 316,802.89/542.19
  6. Step 6: Final answer
    x = 584.30

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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.