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Finding the Fourth Proportional to 590.76, 815.76 and 493.56

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Solution

The fourth proportional to 590.76, 815.76 and 493.56 is: 681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.76 : 815.76 = 493.56 : x
  2. Step 2: Convert to fraction form
    590.76/815.76 = 493.56/x
  3. Step 3: Cross multiply
    590.76x = 815.76 × 493.56
  4. Step 4: Simplify right side
    590.76x = 402,626.51
  5. Step 5: Solve for x
    x = 402,626.51/590.76
  6. Step 6: Final answer
    x = 681.54

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