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Finding the Fourth Proportional to 570.73, 786.89 and 465.71

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Solution

The fourth proportional to 570.73, 786.89 and 465.71 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.73 : 786.89 = 465.71 : x
  2. Step 2: Convert to fraction form
    570.73/786.89 = 465.71/x
  3. Step 3: Cross multiply
    570.73x = 786.89 × 465.71
  4. Step 4: Simplify right side
    570.73x = 366,462.89
  5. Step 5: Solve for x
    x = 366,462.89/570.73
  6. Step 6: Final answer
    x = 642.10

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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.