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Finding the Fourth Proportional to 610.90, 917.45 and 535.30

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Solution

The fourth proportional to 610.90, 917.45 and 535.30 is: 803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 917.45 = 535.30 : x
  2. Step 2: Convert to fraction form
    610.90/917.45 = 535.30/x
  3. Step 3: Cross multiply
    610.90x = 917.45 × 535.30
  4. Step 4: Simplify right side
    610.90x = 491,110.99
  5. Step 5: Solve for x
    x = 491,110.99/610.90
  6. Step 6: Final answer
    x = 803.91

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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.