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Finding the Fourth Proportional to 565.83, 780.88 and 317.14

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Solution

The fourth proportional to 565.83, 780.88 and 317.14 is: 437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 780.88 = 317.14 : x
  2. Step 2: Convert to fraction form
    565.83/780.88 = 317.14/x
  3. Step 3: Cross multiply
    565.83x = 780.88 × 317.14
  4. Step 4: Simplify right side
    565.83x = 247,648.28
  5. Step 5: Solve for x
    x = 247,648.28/565.83
  6. Step 6: Final answer
    x = 437.67

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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.