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Finding the Fourth Proportional to 565.22, 780.04 and 316.58

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Solution

The fourth proportional to 565.22, 780.04 and 316.58 is: 436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.22 : 780.04 = 316.58 : x
  2. Step 2: Convert to fraction form
    565.22/780.04 = 316.58/x
  3. Step 3: Cross multiply
    565.22x = 780.04 × 316.58
  4. Step 4: Simplify right side
    565.22x = 246,945.06
  5. Step 5: Solve for x
    x = 246,945.06/565.22
  6. Step 6: Final answer
    x = 436.90

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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.