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Finding the Fourth Proportional to 497.46, 741.81 and 462.83

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Solution

The fourth proportional to 497.46, 741.81 and 462.83 is: 690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.46 : 741.81 = 462.83 : x
  2. Step 2: Convert to fraction form
    497.46/741.81 = 462.83/x
  3. Step 3: Cross multiply
    497.46x = 741.81 × 462.83
  4. Step 4: Simplify right side
    497.46x = 343,331.92
  5. Step 5: Solve for x
    x = 343,331.92/497.46
  6. Step 6: Final answer
    x = 690.17

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1.5x scale

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.