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Finding the Fourth Proportional to 370.57, 555.93 and 310.12

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Solution

The fourth proportional to 370.57, 555.93 and 310.12 is: 465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.57 : 555.93 = 310.12 : x
  2. Step 2: Convert to fraction form
    370.57/555.93 = 310.12/x
  3. Step 3: Cross multiply
    370.57x = 555.93 × 310.12
  4. Step 4: Simplify right side
    370.57x = 172,405.63
  5. Step 5: Solve for x
    x = 172,405.63/370.57
  6. Step 6: Final answer
    x = 465.24

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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.