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Finding the Fourth Proportional to 562.06, 841.74 and 398.98

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Solution

The fourth proportional to 562.06, 841.74 and 398.98 is: 597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.06 : 841.74 = 398.98 : x
  2. Step 2: Convert to fraction form
    562.06/841.74 = 398.98/x
  3. Step 3: Cross multiply
    562.06x = 841.74 × 398.98
  4. Step 4: Simplify right side
    562.06x = 335,837.43
  5. Step 5: Solve for x
    x = 335,837.43/562.06
  6. Step 6: Final answer
    x = 597.51

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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.