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Finding the Fourth Proportional to 565.37, 843.87 and 530.74

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Solution

The fourth proportional to 565.37, 843.87 and 530.74 is: 792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.37 : 843.87 = 530.74 : x
  2. Step 2: Convert to fraction form
    565.37/843.87 = 530.74/x
  3. Step 3: Cross multiply
    565.37x = 843.87 × 530.74
  4. Step 4: Simplify right side
    565.37x = 447,875.56
  5. Step 5: Solve for x
    x = 447,875.56/565.37
  6. Step 6: Final answer
    x = 792.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.