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Finding the Fourth Proportional to 564.99, 779.70 and 341.04

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Solution

The fourth proportional to 564.99, 779.70 and 341.04 is: 470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.99 : 779.70 = 341.04 : x
  2. Step 2: Convert to fraction form
    564.99/779.70 = 341.04/x
  3. Step 3: Cross multiply
    564.99x = 779.70 × 341.04
  4. Step 4: Simplify right side
    564.99x = 265,908.89
  5. Step 5: Solve for x
    x = 265,908.89/564.99
  6. Step 6: Final answer
    x = 470.64

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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.