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Finding the Fourth Proportional to 652.12, 899.64 and 416.14

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Solution

The fourth proportional to 652.12, 899.64 and 416.14 is: 574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 899.64 = 416.14 : x
  2. Step 2: Convert to fraction form
    652.12/899.64 = 416.14/x
  3. Step 3: Cross multiply
    652.12x = 899.64 × 416.14
  4. Step 4: Simplify right side
    652.12x = 374,376.19
  5. Step 5: Solve for x
    x = 374,376.19/652.12
  6. Step 6: Final answer
    x = 574.09

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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.