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Finding the Fourth Proportional to 652.15, 899.49 and 416.26

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Solution

The fourth proportional to 652.15, 899.49 and 416.26 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.15 : 899.49 = 416.26 : x
  2. Step 2: Convert to fraction form
    652.15/899.49 = 416.26/x
  3. Step 3: Cross multiply
    652.15x = 899.49 × 416.26
  4. Step 4: Simplify right side
    652.15x = 374,421.71
  5. Step 5: Solve for x
    x = 374,421.71/652.15
  6. Step 6: Final answer
    x = 574.13

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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.