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Finding the Fourth Proportional to 590.49, 813.51 and 466.56

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Solution

The fourth proportional to 590.49, 813.51 and 466.56 is: 642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 813.51 = 466.56 : x
  2. Step 2: Convert to fraction form
    590.49/813.51 = 466.56/x
  3. Step 3: Cross multiply
    590.49x = 813.51 × 466.56
  4. Step 4: Simplify right side
    590.49x = 379,551.23
  5. Step 5: Solve for x
    x = 379,551.23/590.49
  6. Step 6: Final answer
    x = 642.77

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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.