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Finding the Fourth Proportional to 652.94, 900.59 and 404.37

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Solution

The fourth proportional to 652.94, 900.59 and 404.37 is: 557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.94 : 900.59 = 404.37 : x
  2. Step 2: Convert to fraction form
    652.94/900.59 = 404.37/x
  3. Step 3: Cross multiply
    652.94x = 900.59 × 404.37
  4. Step 4: Simplify right side
    652.94x = 364,169.56
  5. Step 5: Solve for x
    x = 364,169.56/652.94
  6. Step 6: Final answer
    x = 557.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.