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Finding the Fourth Proportional to 652.06, 975.72 and 404.38

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Solution

The fourth proportional to 652.06, 975.72 and 404.38 is: 605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 975.72 = 404.38 : x
  2. Step 2: Convert to fraction form
    652.06/975.72 = 404.38/x
  3. Step 3: Cross multiply
    652.06x = 975.72 × 404.38
  4. Step 4: Simplify right side
    652.06x = 394,561.65
  5. Step 5: Solve for x
    x = 394,561.65/652.06
  6. Step 6: Final answer
    x = 605.10

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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.