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Finding the Fourth Proportional to 567.68, 856.24 and 500.05

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Solution

The fourth proportional to 567.68, 856.24 and 500.05 is: 754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.68 : 856.24 = 500.05 : x
  2. Step 2: Convert to fraction form
    567.68/856.24 = 500.05/x
  3. Step 3: Cross multiply
    567.68x = 856.24 × 500.05
  4. Step 4: Simplify right side
    567.68x = 428,162.81
  5. Step 5: Solve for x
    x = 428,162.81/567.68
  6. Step 6: Final answer
    x = 754.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.