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Finding the Fourth Proportional to 570.14, 786.76 and 318.08

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Solution

The fourth proportional to 570.14, 786.76 and 318.08 is: 438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.14 : 786.76 = 318.08 : x
  2. Step 2: Convert to fraction form
    570.14/786.76 = 318.08/x
  3. Step 3: Cross multiply
    570.14x = 786.76 × 318.08
  4. Step 4: Simplify right side
    570.14x = 250,253.79
  5. Step 5: Solve for x
    x = 250,253.79/570.14
  6. Step 6: Final answer
    x = 438.93

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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.