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Finding the Fourth Proportional to 897.72, 1,346.58 and 410.52

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Solution

The fourth proportional to 897.72, 1,346.58 and 410.52 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.72 : 1,346.58 = 410.52 : x
  2. Step 2: Convert to fraction form
    897.72/1,346.58 = 410.52/x
  3. Step 3: Cross multiply
    897.72x = 1,346.58 × 410.52
  4. Step 4: Simplify right side
    897.72x = 552,798.02
  5. Step 5: Solve for x
    x = 552,798.02/897.72
  6. Step 6: Final answer
    x = 615.78

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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.