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Finding the Fourth Proportional to 390.35, 586.44 and 374.83

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Solution

The fourth proportional to 390.35, 586.44 and 374.83 is: 563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.35 : 586.44 = 374.83 : x
  2. Step 2: Convert to fraction form
    390.35/586.44 = 374.83/x
  3. Step 3: Cross multiply
    390.35x = 586.44 × 374.83
  4. Step 4: Simplify right side
    390.35x = 219,813.84
  5. Step 5: Solve for x
    x = 219,813.84/390.35
  6. Step 6: Final answer
    x = 563.12

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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.