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Finding the Fourth Proportional to 340.46, 510.70 and 268.77

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Solution

The fourth proportional to 340.46, 510.70 and 268.77 is: 403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.46 : 510.70 = 268.77 : x
  2. Step 2: Convert to fraction form
    340.46/510.70 = 268.77/x
  3. Step 3: Cross multiply
    340.46x = 510.70 × 268.77
  4. Step 4: Simplify right side
    340.46x = 137,260.84
  5. Step 5: Solve for x
    x = 137,260.84/340.46
  6. Step 6: Final answer
    x = 403.16

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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.