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Finding the Fourth Proportional to 457.70, 687.63 and 376.70

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Solution

The fourth proportional to 457.70, 687.63 and 376.70 is: 565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.70 : 687.63 = 376.70 : x
  2. Step 2: Convert to fraction form
    457.70/687.63 = 376.70/x
  3. Step 3: Cross multiply
    457.70x = 687.63 × 376.70
  4. Step 4: Simplify right side
    457.70x = 259,030.22
  5. Step 5: Solve for x
    x = 259,030.22/457.70
  6. Step 6: Final answer
    x = 565.94

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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.