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Finding the Fourth Proportional to 613.10, 918.42 and 283.58

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Solution

The fourth proportional to 613.10, 918.42 and 283.58 is: 424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.10 : 918.42 = 283.58 : x
  2. Step 2: Convert to fraction form
    613.10/918.42 = 283.58/x
  3. Step 3: Cross multiply
    613.10x = 918.42 × 283.58
  4. Step 4: Simplify right side
    613.10x = 260,445.54
  5. Step 5: Solve for x
    x = 260,445.54/613.10
  6. Step 6: Final answer
    x = 424.80

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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.