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Finding the Fourth Proportional to 565.63, 780.43 and 316.93

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Solution

The fourth proportional to 565.63, 780.43 and 316.93 is: 437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.63 : 780.43 = 316.93 : x
  2. Step 2: Convert to fraction form
    565.63/780.43 = 316.93/x
  3. Step 3: Cross multiply
    565.63x = 780.43 × 316.93
  4. Step 4: Simplify right side
    565.63x = 247,341.68
  5. Step 5: Solve for x
    x = 247,341.68/565.63
  6. Step 6: Final answer
    x = 437.29

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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.