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Finding the Fourth Proportional to 407.77, 610.70 and 291.67

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Solution

The fourth proportional to 407.77, 610.70 and 291.67 is: 436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.77 : 610.70 = 291.67 : x
  2. Step 2: Convert to fraction form
    407.77/610.70 = 291.67/x
  3. Step 3: Cross multiply
    407.77x = 610.70 × 291.67
  4. Step 4: Simplify right side
    407.77x = 178,122.94
  5. Step 5: Solve for x
    x = 178,122.94/407.77
  6. Step 6: Final answer
    x = 436.82

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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.