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Finding the Fourth Proportional to 687.24, 948.42 and 407.70

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Solution

The fourth proportional to 687.24, 948.42 and 407.70 is: 562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.24 : 948.42 = 407.70 : x
  2. Step 2: Convert to fraction form
    687.24/948.42 = 407.70/x
  3. Step 3: Cross multiply
    687.24x = 948.42 × 407.70
  4. Step 4: Simplify right side
    687.24x = 386,670.83
  5. Step 5: Solve for x
    x = 386,670.83/687.24
  6. Step 6: Final answer
    x = 562.64

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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.