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Finding the Fourth Proportional to 612.33, 917.67 and 283.08

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Solution

The fourth proportional to 612.33, 917.67 and 283.08 is: 424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.33 : 917.67 = 283.08 : x
  2. Step 2: Convert to fraction form
    612.33/917.67 = 283.08/x
  3. Step 3: Cross multiply
    612.33x = 917.67 × 283.08
  4. Step 4: Simplify right side
    612.33x = 259,774.02
  5. Step 5: Solve for x
    x = 259,774.02/612.33
  6. Step 6: Final answer
    x = 424.24

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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.