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Finding the Fourth Proportional to 687.50, 948.54 and 407.80

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Solution

The fourth proportional to 687.50, 948.54 and 407.80 is: 562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.50 : 948.54 = 407.80 : x
  2. Step 2: Convert to fraction form
    687.50/948.54 = 407.80/x
  3. Step 3: Cross multiply
    687.50x = 948.54 × 407.80
  4. Step 4: Simplify right side
    687.50x = 386,814.61
  5. Step 5: Solve for x
    x = 386,814.61/687.50
  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.