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Finding the Fourth Proportional to 697.23, 1,045.85 and 332.13

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Solution

The fourth proportional to 697.23, 1,045.85 and 332.13 is: 498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.23 : 1,045.85 = 332.13 : x
  2. Step 2: Convert to fraction form
    697.23/1,045.85 = 332.13/x
  3. Step 3: Cross multiply
    697.23x = 1,045.85 × 332.13
  4. Step 4: Simplify right side
    697.23x = 347,356.50
  5. Step 5: Solve for x
    x = 347,356.50/697.23
  6. Step 6: Final answer
    x = 498.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.