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Finding the Fourth Proportional to 594.04, 815.40 and 542.20

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Solution

The fourth proportional to 594.04, 815.40 and 542.20 is: 744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.04 : 815.40 = 542.20 : x
  2. Step 2: Convert to fraction form
    594.04/815.40 = 542.20/x
  3. Step 3: Cross multiply
    594.04x = 815.40 × 542.20
  4. Step 4: Simplify right side
    594.04x = 442,109.88
  5. Step 5: Solve for x
    x = 442,109.88/594.04
  6. Step 6: Final answer
    x = 744.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.