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Finding the Fourth Proportional to 510.06, 765.54 and 291.13

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Solution

The fourth proportional to 510.06, 765.54 and 291.13 is: 436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.06 : 765.54 = 291.13 : x
  2. Step 2: Convert to fraction form
    510.06/765.54 = 291.13/x
  3. Step 3: Cross multiply
    510.06x = 765.54 × 291.13
  4. Step 4: Simplify right side
    510.06x = 222,869.75
  5. Step 5: Solve for x
    x = 222,869.75/510.06
  6. Step 6: Final answer
    x = 436.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.