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Finding the Fourth Proportional to 595.36, 822.72 and 537.04

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Solution

The fourth proportional to 595.36, 822.72 and 537.04 is: 742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.36 : 822.72 = 537.04 : x
  2. Step 2: Convert to fraction form
    595.36/822.72 = 537.04/x
  3. Step 3: Cross multiply
    595.36x = 822.72 × 537.04
  4. Step 4: Simplify right side
    595.36x = 441,833.55
  5. Step 5: Solve for x
    x = 441,833.55/595.36
  6. Step 6: Final answer
    x = 742.13

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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.