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Finding the Fourth Proportional to 546.66, 752.36 and 522.06

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Solution

The fourth proportional to 546.66, 752.36 and 522.06 is: 718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 752.36 = 522.06 : x
  2. Step 2: Convert to fraction form
    546.66/752.36 = 522.06/x
  3. Step 3: Cross multiply
    546.66x = 752.36 × 522.06
  4. Step 4: Simplify right side
    546.66x = 392,777.06
  5. Step 5: Solve for x
    x = 392,777.06/546.66
  6. Step 6: Final answer
    x = 718.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.