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Finding the Fourth Proportional to 612.39, 916.88 and 467.67

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Solution

The fourth proportional to 612.39, 916.88 and 467.67 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.39 : 916.88 = 467.67 : x
  2. Step 2: Convert to fraction form
    612.39/916.88 = 467.67/x
  3. Step 3: Cross multiply
    612.39x = 916.88 × 467.67
  4. Step 4: Simplify right side
    612.39x = 428,794.93
  5. Step 5: Solve for x
    x = 428,794.93/612.39
  6. Step 6: Final answer
    x = 700.20

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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.