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Finding the Fourth Proportional to 652.06, 899.82 and 357.31

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Solution

The fourth proportional to 652.06, 899.82 and 357.31 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 899.82 = 357.31 : x
  2. Step 2: Convert to fraction form
    652.06/899.82 = 357.31/x
  3. Step 3: Cross multiply
    652.06x = 899.82 × 357.31
  4. Step 4: Simplify right side
    652.06x = 321,515.81
  5. Step 5: Solve for x
    x = 321,515.81/652.06
  6. Step 6: Final answer
    x = 493.08

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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.