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Finding the Fourth Proportional to 510.46, 765.54 and 276.16

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Solution

The fourth proportional to 510.46, 765.54 and 276.16 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.46 : 765.54 = 276.16 : x
  2. Step 2: Convert to fraction form
    510.46/765.54 = 276.16/x
  3. Step 3: Cross multiply
    510.46x = 765.54 × 276.16
  4. Step 4: Simplify right side
    510.46x = 211,411.53
  5. Step 5: Solve for x
    x = 211,411.53/510.46
  6. Step 6: Final answer
    x = 414.16

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1.5x scale

Why These Related Problems?

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