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Finding the Fourth Proportional to 542, 809.04 and 433.60

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Solution

The fourth proportional to 542, 809.04 and 433.60 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 809.04 = 433.60 : x
  2. Step 2: Convert to fraction form
    542/809.04 = 433.60/x
  3. Step 3: Cross multiply
    542x = 809.04 × 433.60
  4. Step 4: Simplify right side
    542x = 350,799.74
  5. Step 5: Solve for x
    x = 350,799.74/542
  6. Step 6: Final answer
    x = 647.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.