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Finding the Fourth Proportional to 652.02, 899.75 and 357.23

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Solution

The fourth proportional to 652.02, 899.75 and 357.23 is: 492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.02 : 899.75 = 357.23 : x
  2. Step 2: Convert to fraction form
    652.02/899.75 = 357.23/x
  3. Step 3: Cross multiply
    652.02x = 899.75 × 357.23
  4. Step 4: Simplify right side
    652.02x = 321,417.69
  5. Step 5: Solve for x
    x = 321,417.69/652.02
  6. Step 6: Final answer
    x = 492.96

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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.