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Finding the Fourth Proportional to 616.87, 851.42 and 407.06

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Solution

The fourth proportional to 616.87, 851.42 and 407.06 is: 561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.87 : 851.42 = 407.06 : x
  2. Step 2: Convert to fraction form
    616.87/851.42 = 407.06/x
  3. Step 3: Cross multiply
    616.87x = 851.42 × 407.06
  4. Step 4: Simplify right side
    616.87x = 346,576.99
  5. Step 5: Solve for x
    x = 346,576.99/616.87
  6. Step 6: Final answer
    x = 561.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.