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Finding the Fourth Proportional to 613.55, 918.26 and 417.74

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Solution

The fourth proportional to 613.55, 918.26 and 417.74 is: 625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.55 : 918.26 = 417.74 : x
  2. Step 2: Convert to fraction form
    613.55/918.26 = 417.74/x
  3. Step 3: Cross multiply
    613.55x = 918.26 × 417.74
  4. Step 4: Simplify right side
    613.55x = 383,587.25
  5. Step 5: Solve for x
    x = 383,587.25/613.55
  6. Step 6: Final answer
    x = 625.20

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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.