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Finding the Fourth Proportional to 478.04, 715.83 and 389.79

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Solution

The fourth proportional to 478.04, 715.83 and 389.79 is: 583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 715.83 = 389.79 : x
  2. Step 2: Convert to fraction form
    478.04/715.83 = 389.79/x
  3. Step 3: Cross multiply
    478.04x = 715.83 × 389.79
  4. Step 4: Simplify right side
    478.04x = 279,023.38
  5. Step 5: Solve for x
    x = 279,023.38/478.04
  6. Step 6: Final answer
    x = 583.69

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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.