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Finding the Fourth Proportional to 652.23, 899.64 and 478.08

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Solution

The fourth proportional to 652.23, 899.64 and 478.08 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 899.64 = 478.08 : x
  2. Step 2: Convert to fraction form
    652.23/899.64 = 478.08/x
  3. Step 3: Cross multiply
    652.23x = 899.64 × 478.08
  4. Step 4: Simplify right side
    652.23x = 430,099.89
  5. Step 5: Solve for x
    x = 430,099.89/652.23
  6. Step 6: Final answer
    x = 659.43

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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.