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Finding the Fourth Proportional to 732.21, 1,010.49 and 417.51

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Solution

The fourth proportional to 732.21, 1,010.49 and 417.51 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.21 : 1,010.49 = 417.51 : x
  2. Step 2: Convert to fraction form
    732.21/1,010.49 = 417.51/x
  3. Step 3: Cross multiply
    732.21x = 1,010.49 × 417.51
  4. Step 4: Simplify right side
    732.21x = 421,889.68
  5. Step 5: Solve for x
    x = 421,889.68/732.21
  6. Step 6: Final answer
    x = 576.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.