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Finding the Fourth Proportional to 370.83, 511.46 and 312.13

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Solution

The fourth proportional to 370.83, 511.46 and 312.13 is: 430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.83 : 511.46 = 312.13 : x
  2. Step 2: Convert to fraction form
    370.83/511.46 = 312.13/x
  3. Step 3: Cross multiply
    370.83x = 511.46 × 312.13
  4. Step 4: Simplify right side
    370.83x = 159,642.58
  5. Step 5: Solve for x
    x = 159,642.58/370.83
  6. Step 6: Final answer
    x = 430.50

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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.