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Finding the Fourth Proportional to 652.14, 899.91 and 416.25

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Solution

The fourth proportional to 652.14, 899.91 and 416.25 is: 574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 899.91 = 416.25 : x
  2. Step 2: Convert to fraction form
    652.14/899.91 = 416.25/x
  3. Step 3: Cross multiply
    652.14x = 899.91 × 416.25
  4. Step 4: Simplify right side
    652.14x = 374,587.54
  5. Step 5: Solve for x
    x = 374,587.54/652.14
  6. Step 6: Final answer
    x = 574.40

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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.