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Finding the Fourth Proportional to 595.22, 822.84 and 541.22

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Solution

The fourth proportional to 595.22, 822.84 and 541.22 is: 748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.22 : 822.84 = 541.22 : x
  2. Step 2: Convert to fraction form
    595.22/822.84 = 541.22/x
  3. Step 3: Cross multiply
    595.22x = 822.84 × 541.22
  4. Step 4: Simplify right side
    595.22x = 445,337.46
  5. Step 5: Solve for x
    x = 445,337.46/595.22
  6. Step 6: Final answer
    x = 748.19

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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.