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Finding the Fourth Proportional to 897.58, 1,345.87 and 410.37

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Solution

The fourth proportional to 897.58, 1,345.87 and 410.37 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.58 : 1,345.87 = 410.37 : x
  2. Step 2: Convert to fraction form
    897.58/1,345.87 = 410.37/x
  3. Step 3: Cross multiply
    897.58x = 1,345.87 × 410.37
  4. Step 4: Simplify right side
    897.58x = 552,304.67
  5. Step 5: Solve for x
    x = 552,304.67/897.58
  6. Step 6: Final answer
    x = 615.33

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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.