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Finding the Fourth Proportional to 897.28, 1,344.02 and 410.74

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Solution

The fourth proportional to 897.28, 1,344.02 and 410.74 is: 615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.28 : 1,344.02 = 410.74 : x
  2. Step 2: Convert to fraction form
    897.28/1,344.02 = 410.74/x
  3. Step 3: Cross multiply
    897.28x = 1,344.02 × 410.74
  4. Step 4: Simplify right side
    897.28x = 552,036.05
  5. Step 5: Solve for x
    x = 552,036.05/897.28
  6. Step 6: Final answer
    x = 615.24

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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.