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Finding the Fourth Proportional to 565.67, 780.67 and 317.04

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Solution

The fourth proportional to 565.67, 780.67 and 317.04 is: 437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.67 : 780.67 = 317.04 : x
  2. Step 2: Convert to fraction form
    565.67/780.67 = 317.04/x
  3. Step 3: Cross multiply
    565.67x = 780.67 × 317.04
  4. Step 4: Simplify right side
    565.67x = 247,501.09
  5. Step 5: Solve for x
    x = 247,501.09/565.67
  6. Step 6: Final answer
    x = 437.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.