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Finding the Fourth Proportional to 910.82, 1,365.20 and 417.14

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Solution

The fourth proportional to 910.82, 1,365.20 and 417.14 is: 625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.82 : 1,365.20 = 417.14 : x
  2. Step 2: Convert to fraction form
    910.82/1,365.20 = 417.14/x
  3. Step 3: Cross multiply
    910.82x = 1,365.20 × 417.14
  4. Step 4: Simplify right side
    910.82x = 569,479.53
  5. Step 5: Solve for x
    x = 569,479.53/910.82
  6. Step 6: Final answer
    x = 625.24

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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.