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Finding the Fourth Proportional to 497.06, 740.02 and 494.66

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Solution

The fourth proportional to 497.06, 740.02 and 494.66 is: 736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 740.02 = 494.66 : x
  2. Step 2: Convert to fraction form
    497.06/740.02 = 494.66/x
  3. Step 3: Cross multiply
    497.06x = 740.02 × 494.66
  4. Step 4: Simplify right side
    497.06x = 366,058.29
  5. Step 5: Solve for x
    x = 366,058.29/497.06
  6. Step 6: Final answer
    x = 736.45

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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.