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Finding the Fourth Proportional to 697.20, 1,045.44 and 312

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Solution

The fourth proportional to 697.20, 1,045.44 and 312 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.20 : 1,045.44 = 312 : x
  2. Step 2: Convert to fraction form
    697.20/1,045.44 = 312/x
  3. Step 3: Cross multiply
    697.20x = 1,045.44 × 312
  4. Step 4: Simplify right side
    697.20x = 326,177.28
  5. Step 5: Solve for x
    x = 326,177.28/697.20
  6. Step 6: Final answer
    x = 467.84

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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.