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Finding the Fourth Proportional to 529.34, 790.32 and 496.53

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Solution

The fourth proportional to 529.34, 790.32 and 496.53 is: 741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 790.32 = 496.53 : x
  2. Step 2: Convert to fraction form
    529.34/790.32 = 496.53/x
  3. Step 3: Cross multiply
    529.34x = 790.32 × 496.53
  4. Step 4: Simplify right side
    529.34x = 392,417.59
  5. Step 5: Solve for x
    x = 392,417.59/529.34
  6. Step 6: Final answer
    x = 741.34

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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.