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Finding the Fourth Proportional to 370.01, 511.16 and 296.24

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Solution

The fourth proportional to 370.01, 511.16 and 296.24 is: 409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.01 : 511.16 = 296.24 : x
  2. Step 2: Convert to fraction form
    370.01/511.16 = 296.24/x
  3. Step 3: Cross multiply
    370.01x = 511.16 × 296.24
  4. Step 4: Simplify right side
    370.01x = 151,422.00
  5. Step 5: Solve for x
    x = 151,422.00/370.01
  6. Step 6: Final answer
    x = 409.23

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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.