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Finding the Fourth Proportional to 595.68, 816.78 and 540.24

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Solution

The fourth proportional to 595.68, 816.78 and 540.24 is: 740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 816.78 = 540.24 : x
  2. Step 2: Convert to fraction form
    595.68/816.78 = 540.24/x
  3. Step 3: Cross multiply
    595.68x = 816.78 × 540.24
  4. Step 4: Simplify right side
    595.68x = 441,257.23
  5. Step 5: Solve for x
    x = 441,257.23/595.68
  6. Step 6: Final answer
    x = 740.76

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Why These Related Problems?

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