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Finding the Fourth Proportional to 613.25, 917.74 and 502.28

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Solution

The fourth proportional to 613.25, 917.74 and 502.28 is: 751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.25 : 917.74 = 502.28 : x
  2. Step 2: Convert to fraction form
    613.25/917.74 = 502.28/x
  3. Step 3: Cross multiply
    613.25x = 917.74 × 502.28
  4. Step 4: Simplify right side
    613.25x = 460,962.45
  5. Step 5: Solve for x
    x = 460,962.45/613.25
  6. Step 6: Final answer
    x = 751.67

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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.