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Finding the Fourth Proportional to 538.66, 807.97 and 524.08

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Solution

The fourth proportional to 538.66, 807.97 and 524.08 is: 786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.66 : 807.97 = 524.08 : x
  2. Step 2: Convert to fraction form
    538.66/807.97 = 524.08/x
  3. Step 3: Cross multiply
    538.66x = 807.97 × 524.08
  4. Step 4: Simplify right side
    538.66x = 423,440.92
  5. Step 5: Solve for x
    x = 423,440.92/538.66
  6. Step 6: Final answer
    x = 786.10

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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.