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Finding the Fourth Proportional to 897.90, 1,346.82 and 410.28

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Solution

The fourth proportional to 897.90, 1,346.82 and 410.28 is: 615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.90 : 1,346.82 = 410.28 : x
  2. Step 2: Convert to fraction form
    897.90/1,346.82 = 410.28/x
  3. Step 3: Cross multiply
    897.90x = 1,346.82 × 410.28
  4. Step 4: Simplify right side
    897.90x = 552,573.31
  5. Step 5: Solve for x
    x = 552,573.31/897.90
  6. Step 6: Final answer
    x = 615.41

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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.