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Finding the Fourth Proportional to 570.31, 786.31 and 465.29

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Solution

The fourth proportional to 570.31, 786.31 and 465.29 is: 641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.31 : 786.31 = 465.29 : x
  2. Step 2: Convert to fraction form
    570.31/786.31 = 465.29/x
  3. Step 3: Cross multiply
    570.31x = 786.31 × 465.29
  4. Step 4: Simplify right side
    570.31x = 365,864.46
  5. Step 5: Solve for x
    x = 365,864.46/570.31
  6. Step 6: Final answer
    x = 641.52

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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.