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Finding the Fourth Proportional to 537.04, 740.66 and 467.08

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Solution

The fourth proportional to 537.04, 740.66 and 467.08 is: 644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.04 : 740.66 = 467.08 : x
  2. Step 2: Convert to fraction form
    537.04/740.66 = 467.08/x
  3. Step 3: Cross multiply
    537.04x = 740.66 × 467.08
  4. Step 4: Simplify right side
    537.04x = 345,947.47
  5. Step 5: Solve for x
    x = 345,947.47/537.04
  6. Step 6: Final answer
    x = 644.17

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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.