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Finding the Fourth Proportional to 460.25, 688.76 and 377.01

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Solution

The fourth proportional to 460.25, 688.76 and 377.01 is: 564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 688.76 = 377.01 : x
  2. Step 2: Convert to fraction form
    460.25/688.76 = 377.01/x
  3. Step 3: Cross multiply
    460.25x = 688.76 × 377.01
  4. Step 4: Simplify right side
    460.25x = 259,667.52
  5. Step 5: Solve for x
    x = 259,667.52/460.25
  6. Step 6: Final answer
    x = 564.19

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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.