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Finding the Fourth Proportional to 510.32, 765.76 and 294.32

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Solution

The fourth proportional to 510.32, 765.76 and 294.32 is: 441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 765.76 = 294.32 : x
  2. Step 2: Convert to fraction form
    510.32/765.76 = 294.32/x
  3. Step 3: Cross multiply
    510.32x = 765.76 × 294.32
  4. Step 4: Simplify right side
    510.32x = 225,378.48
  5. Step 5: Solve for x
    x = 225,378.48/510.32
  6. Step 6: Final answer
    x = 441.64

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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.