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Finding the Fourth Proportional to 594.72, 816.34 and 527.76

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Solution

The fourth proportional to 594.72, 816.34 and 527.76 is: 724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.72 : 816.34 = 527.76 : x
  2. Step 2: Convert to fraction form
    594.72/816.34 = 527.76/x
  3. Step 3: Cross multiply
    594.72x = 816.34 × 527.76
  4. Step 4: Simplify right side
    594.72x = 430,831.60
  5. Step 5: Solve for x
    x = 430,831.60/594.72
  6. Step 6: Final answer
    x = 724.43

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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.