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Finding the Fourth Proportional to 897.51, 1,346.78 and 410.57

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Solution

The fourth proportional to 897.51, 1,346.78 and 410.57 is: 616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.51 : 1,346.78 = 410.57 : x
  2. Step 2: Convert to fraction form
    897.51/1,346.78 = 410.57/x
  3. Step 3: Cross multiply
    897.51x = 1,346.78 × 410.57
  4. Step 4: Simplify right side
    897.51x = 552,940.73
  5. Step 5: Solve for x
    x = 552,940.73/897.51
  6. Step 6: Final answer
    x = 616.08

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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.