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Finding the Fourth Proportional to 612.64, 917.25 and 467.92

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Solution

The fourth proportional to 612.64, 917.25 and 467.92 is: 700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.64 : 917.25 = 467.92 : x
  2. Step 2: Convert to fraction form
    612.64/917.25 = 467.92/x
  3. Step 3: Cross multiply
    612.64x = 917.25 × 467.92
  4. Step 4: Simplify right side
    612.64x = 429,199.62
  5. Step 5: Solve for x
    x = 429,199.62/612.64
  6. Step 6: Final answer
    x = 700.57

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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.