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Finding the Fourth Proportional to 562.85, 844.62 and 357.14

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Solution

The fourth proportional to 562.85, 844.62 and 357.14 is: 535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.85 : 844.62 = 357.14 : x
  2. Step 2: Convert to fraction form
    562.85/844.62 = 357.14/x
  3. Step 3: Cross multiply
    562.85x = 844.62 × 357.14
  4. Step 4: Simplify right side
    562.85x = 301,647.59
  5. Step 5: Solve for x
    x = 301,647.59/562.85
  6. Step 6: Final answer
    x = 535.93

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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.