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Finding the Fourth Proportional to 652.74, 900.75 and 404.47

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Solution

The fourth proportional to 652.74, 900.75 and 404.47 is: 558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.74 : 900.75 = 404.47 : x
  2. Step 2: Convert to fraction form
    652.74/900.75 = 404.47/x
  3. Step 3: Cross multiply
    652.74x = 900.75 × 404.47
  4. Step 4: Simplify right side
    652.74x = 364,329.00
  5. Step 5: Solve for x
    x = 364,329.00/652.74
  6. Step 6: Final answer
    x = 558.16

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