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Finding the Fourth Proportional to 570.79, 787.69 and 308.81

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Solution

The fourth proportional to 570.79, 787.69 and 308.81 is: 426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.79 : 787.69 = 308.81 : x
  2. Step 2: Convert to fraction form
    570.79/787.69 = 308.81/x
  3. Step 3: Cross multiply
    570.79x = 787.69 × 308.81
  4. Step 4: Simplify right side
    570.79x = 243,242.61
  5. Step 5: Solve for x
    x = 243,242.61/570.79
  6. Step 6: Final answer
    x = 426.15

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Why These Related Problems?

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