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Finding the Fourth Proportional to 897.46, 1,345.34 and 349.46

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Solution

The fourth proportional to 897.46, 1,345.34 and 349.46 is: 523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.46 : 1,345.34 = 349.46 : x
  2. Step 2: Convert to fraction form
    897.46/1,345.34 = 349.46/x
  3. Step 3: Cross multiply
    897.46x = 1,345.34 × 349.46
  4. Step 4: Simplify right side
    897.46x = 470,142.52
  5. Step 5: Solve for x
    x = 470,142.52/897.46
  6. Step 6: Final answer
    x = 523.86

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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.