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Finding the Fourth Proportional to 897.90, 1,346.78 and 281.64

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Solution

The fourth proportional to 897.90, 1,346.78 and 281.64 is: 422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.90 : 1,346.78 = 281.64 : x
  2. Step 2: Convert to fraction form
    897.90/1,346.78 = 281.64/x
  3. Step 3: Cross multiply
    897.90x = 1,346.78 × 281.64
  4. Step 4: Simplify right side
    897.90x = 379,307.12
  5. Step 5: Solve for x
    x = 379,307.12/897.90
  6. Step 6: Final answer
    x = 422.44

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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.