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Finding the Fourth Proportional to 477.29, 715.64 and 261.02

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Solution

The fourth proportional to 477.29, 715.64 and 261.02 is: 391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.29 : 715.64 = 261.02 : x
  2. Step 2: Convert to fraction form
    477.29/715.64 = 261.02/x
  3. Step 3: Cross multiply
    477.29x = 715.64 × 261.02
  4. Step 4: Simplify right side
    477.29x = 186,796.84
  5. Step 5: Solve for x
    x = 186,796.84/477.29
  6. Step 6: Final answer
    x = 391.37

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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.