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Finding the Fourth Proportional to 497.68, 749.66 and 407.50

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Solution

The fourth proportional to 497.68, 749.66 and 407.50 is: 613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 749.66 = 407.50 : x
  2. Step 2: Convert to fraction form
    497.68/749.66 = 407.50/x
  3. Step 3: Cross multiply
    497.68x = 749.66 × 407.50
  4. Step 4: Simplify right side
    497.68x = 305,482.54
  5. Step 5: Solve for x
    x = 305,482.54/497.68
  6. Step 6: Final answer
    x = 613.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.