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Finding the Fourth Proportional to 424.01, 632.94 and 366.59

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Solution

The fourth proportional to 424.01, 632.94 and 366.59 is: 547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.01 : 632.94 = 366.59 : x
  2. Step 2: Convert to fraction form
    424.01/632.94 = 366.59/x
  3. Step 3: Cross multiply
    424.01x = 632.94 × 366.59
  4. Step 4: Simplify right side
    424.01x = 232,026.31
  5. Step 5: Solve for x
    x = 232,026.31/424.01
  6. Step 6: Final answer
    x = 547.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.