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Finding the Fourth Proportional to 697.26, 1,045.42 and 332.16

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Solution

The fourth proportional to 697.26, 1,045.42 and 332.16 is: 498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.26 : 1,045.42 = 332.16 : x
  2. Step 2: Convert to fraction form
    697.26/1,045.42 = 332.16/x
  3. Step 3: Cross multiply
    697.26x = 1,045.42 × 332.16
  4. Step 4: Simplify right side
    697.26x = 347,246.71
  5. Step 5: Solve for x
    x = 347,246.71/697.26
  6. Step 6: Final answer
    x = 498.02

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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.