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Finding the Fourth Proportional to 565.20, 848.56 and 322.16

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Solution

The fourth proportional to 565.20, 848.56 and 322.16 is: 483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 848.56 = 322.16 : x
  2. Step 2: Convert to fraction form
    565.20/848.56 = 322.16/x
  3. Step 3: Cross multiply
    565.20x = 848.56 × 322.16
  4. Step 4: Simplify right side
    565.20x = 273,372.09
  5. Step 5: Solve for x
    x = 273,372.09/565.20
  6. Step 6: Final answer
    x = 483.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.