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Finding the Fourth Proportional to 897.97, 1,347.57 and 350.15

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Solution

The fourth proportional to 897.97, 1,347.57 and 350.15 is: 525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.97 : 1,347.57 = 350.15 : x
  2. Step 2: Convert to fraction form
    897.97/1,347.57 = 350.15/x
  3. Step 3: Cross multiply
    897.97x = 1,347.57 × 350.15
  4. Step 4: Simplify right side
    897.97x = 471,855.00
  5. Step 5: Solve for x
    x = 471,855.00/897.97
  6. Step 6: Final answer
    x = 525.47

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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.