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Finding the Fourth Proportional to 958.65, 1,438.03 and 410.28

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Solution

The fourth proportional to 958.65, 1,438.03 and 410.28 is: 615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.65 : 1,438.03 = 410.28 : x
  2. Step 2: Convert to fraction form
    958.65/1,438.03 = 410.28/x
  3. Step 3: Cross multiply
    958.65x = 1,438.03 × 410.28
  4. Step 4: Simplify right side
    958.65x = 589,994.95
  5. Step 5: Solve for x
    x = 589,994.95/958.65
  6. Step 6: Final answer
    x = 615.44

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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.