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Finding the Fourth Proportional to 459.41, 688.10 and 377.33

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Solution

The fourth proportional to 459.41, 688.10 and 377.33 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.41 : 688.10 = 377.33 : x
  2. Step 2: Convert to fraction form
    459.41/688.10 = 377.33/x
  3. Step 3: Cross multiply
    459.41x = 688.10 × 377.33
  4. Step 4: Simplify right side
    459.41x = 259,635.45
  5. Step 5: Solve for x
    x = 259,635.45/459.41
  6. Step 6: Final answer
    x = 565.16

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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.