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Finding the Fourth Proportional to 565, 779.72 and 332.12

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Solution

The fourth proportional to 565, 779.72 and 332.12 is: 458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 779.72 = 332.12 : x
  2. Step 2: Convert to fraction form
    565/779.72 = 332.12/x
  3. Step 3: Cross multiply
    565x = 779.72 × 332.12
  4. Step 4: Simplify right side
    565x = 258,960.61
  5. Step 5: Solve for x
    x = 258,960.61/565
  6. Step 6: Final answer
    x = 458.34

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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.