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Finding the Fourth Proportional to 540.64, 808.52 and 473.28

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Solution

The fourth proportional to 540.64, 808.52 and 473.28 is: 707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.64 : 808.52 = 473.28 : x
  2. Step 2: Convert to fraction form
    540.64/808.52 = 473.28/x
  3. Step 3: Cross multiply
    540.64x = 808.52 × 473.28
  4. Step 4: Simplify right side
    540.64x = 382,656.35
  5. Step 5: Solve for x
    x = 382,656.35/540.64
  6. Step 6: Final answer
    x = 707.78

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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.