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Finding the Fourth Proportional to 371.08, 510.90 and 346.24

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Solution

The fourth proportional to 371.08, 510.90 and 346.24 is: 476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.08 : 510.90 = 346.24 : x
  2. Step 2: Convert to fraction form
    371.08/510.90 = 346.24/x
  3. Step 3: Cross multiply
    371.08x = 510.90 × 346.24
  4. Step 4: Simplify right side
    371.08x = 176,894.02
  5. Step 5: Solve for x
    x = 176,894.02/371.08
  6. Step 6: Final answer
    x = 476.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.