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Finding the Fourth Proportional to 897.10, 1,345.11 and 410.56

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Solution

The fourth proportional to 897.10, 1,345.11 and 410.56 is: 615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.10 : 1,345.11 = 410.56 : x
  2. Step 2: Convert to fraction form
    897.10/1,345.11 = 410.56/x
  3. Step 3: Cross multiply
    897.10x = 1,345.11 × 410.56
  4. Step 4: Simplify right side
    897.10x = 552,248.36
  5. Step 5: Solve for x
    x = 552,248.36/897.10
  6. Step 6: Final answer
    x = 615.59

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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.