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Finding the Fourth Proportional to 526.38, 783.14 and 495.66

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Solution

The fourth proportional to 526.38, 783.14 and 495.66 is: 737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.38 : 783.14 = 495.66 : x
  2. Step 2: Convert to fraction form
    526.38/783.14 = 495.66/x
  3. Step 3: Cross multiply
    526.38x = 783.14 × 495.66
  4. Step 4: Simplify right side
    526.38x = 388,168.69
  5. Step 5: Solve for x
    x = 388,168.69/526.38
  6. Step 6: Final answer
    x = 737.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.