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Finding the Fourth Proportional to 341.64, 510.12 and 280.88

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Solution

The fourth proportional to 341.64, 510.12 and 280.88 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 510.12 = 280.88 : x
  2. Step 2: Convert to fraction form
    341.64/510.12 = 280.88/x
  3. Step 3: Cross multiply
    341.64x = 510.12 × 280.88
  4. Step 4: Simplify right side
    341.64x = 143,282.51
  5. Step 5: Solve for x
    x = 143,282.51/341.64
  6. Step 6: Final answer
    x = 419.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.