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Finding the Fourth Proportional to 565.04, 779.68 and 344

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Solution

The fourth proportional to 565.04, 779.68 and 344 is: 474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.04 : 779.68 = 344 : x
  2. Step 2: Convert to fraction form
    565.04/779.68 = 344/x
  3. Step 3: Cross multiply
    565.04x = 779.68 × 344
  4. Step 4: Simplify right side
    565.04x = 268,209.92
  5. Step 5: Solve for x
    x = 268,209.92/565.04
  6. Step 6: Final answer
    x = 474.67

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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.