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Finding the Fourth Proportional to 554, 835.24 and 524

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Solution

The fourth proportional to 554, 835.24 and 524 is: 790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    554 : 835.24 = 524 : x
  2. Step 2: Convert to fraction form
    554/835.24 = 524/x
  3. Step 3: Cross multiply
    554x = 835.24 × 524
  4. Step 4: Simplify right side
    554x = 437,665.76
  5. Step 5: Solve for x
    x = 437,665.76/554
  6. Step 6: Final answer
    x = 790.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.