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Finding the Fourth Proportional to 565.59, 779.04 and 467.58

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Solution

The fourth proportional to 565.59, 779.04 and 467.58 is: 644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.59 : 779.04 = 467.58 : x
  2. Step 2: Convert to fraction form
    565.59/779.04 = 467.58/x
  3. Step 3: Cross multiply
    565.59x = 779.04 × 467.58
  4. Step 4: Simplify right side
    565.59x = 364,263.52
  5. Step 5: Solve for x
    x = 364,263.52/565.59
  6. Step 6: Final answer
    x = 644.04

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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.