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Finding the Fourth Proportional to 562.58, 844.50 and 400.40

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Solution

The fourth proportional to 562.58, 844.50 and 400.40 is: 601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.58 : 844.50 = 400.40 : x
  2. Step 2: Convert to fraction form
    562.58/844.50 = 400.40/x
  3. Step 3: Cross multiply
    562.58x = 844.50 × 400.40
  4. Step 4: Simplify right side
    562.58x = 338,137.80
  5. Step 5: Solve for x
    x = 338,137.80/562.58
  6. Step 6: Final answer
    x = 601.05

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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.