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Finding the Fourth Proportional to 998.32, 1,497.66 and 340.13

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Solution

The fourth proportional to 998.32, 1,497.66 and 340.13 is: 510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.32 : 1,497.66 = 340.13 : x
  2. Step 2: Convert to fraction form
    998.32/1,497.66 = 340.13/x
  3. Step 3: Cross multiply
    998.32x = 1,497.66 × 340.13
  4. Step 4: Simplify right side
    998.32x = 509,399.10
  5. Step 5: Solve for x
    x = 509,399.10/998.32
  6. Step 6: Final answer
    x = 510.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.