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Finding the Fourth Proportional to 897.85, 1,346.42 and 349.95

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Solution

The fourth proportional to 897.85, 1,346.42 and 349.95 is: 524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.85 : 1,346.42 = 349.95 : x
  2. Step 2: Convert to fraction form
    897.85/1,346.42 = 349.95/x
  3. Step 3: Cross multiply
    897.85x = 1,346.42 × 349.95
  4. Step 4: Simplify right side
    897.85x = 471,185.60
  5. Step 5: Solve for x
    x = 471,185.60/897.85
  6. Step 6: Final answer
    x = 524.79

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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.