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Finding the Fourth Proportional to 565.35, 779.83 and 470.58

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Solution

The fourth proportional to 565.35, 779.83 and 470.58 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.35 : 779.83 = 470.58 : x
  2. Step 2: Convert to fraction form
    565.35/779.83 = 470.58/x
  3. Step 3: Cross multiply
    565.35x = 779.83 × 470.58
  4. Step 4: Simplify right side
    565.35x = 366,972.40
  5. Step 5: Solve for x
    x = 366,972.40/565.35
  6. Step 6: Final answer
    x = 649.11

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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.