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Finding the Fourth Proportional to 697.76, 1,045.96 and 332.45

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Solution

The fourth proportional to 697.76, 1,045.96 and 332.45 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.76 : 1,045.96 = 332.45 : x
  2. Step 2: Convert to fraction form
    697.76/1,045.96 = 332.45/x
  3. Step 3: Cross multiply
    697.76x = 1,045.96 × 332.45
  4. Step 4: Simplify right side
    697.76x = 347,723.34
  5. Step 5: Solve for x
    x = 347,723.34/697.76
  6. Step 6: Final answer
    x = 498.35

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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.