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Finding the Fourth Proportional to 540.32, 808.30 and 458.24

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Solution

The fourth proportional to 540.32, 808.30 and 458.24 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.32 : 808.30 = 458.24 : x
  2. Step 2: Convert to fraction form
    540.32/808.30 = 458.24/x
  3. Step 3: Cross multiply
    540.32x = 808.30 × 458.24
  4. Step 4: Simplify right side
    540.32x = 370,395.39
  5. Step 5: Solve for x
    x = 370,395.39/540.32
  6. Step 6: Final answer
    x = 685.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.