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Finding the Fourth Proportional to 389.08, 583.80 and 345.16

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Solution

The fourth proportional to 389.08, 583.80 and 345.16 is: 517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.08 : 583.80 = 345.16 : x
  2. Step 2: Convert to fraction form
    389.08/583.80 = 345.16/x
  3. Step 3: Cross multiply
    389.08x = 583.80 × 345.16
  4. Step 4: Simplify right side
    389.08x = 201,504.41
  5. Step 5: Solve for x
    x = 201,504.41/389.08
  6. Step 6: Final answer
    x = 517.90

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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.