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Finding the Fourth Proportional to 390.47, 538.89 and 292.06

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Solution

The fourth proportional to 390.47, 538.89 and 292.06 is: 403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.47 : 538.89 = 292.06 : x
  2. Step 2: Convert to fraction form
    390.47/538.89 = 292.06/x
  3. Step 3: Cross multiply
    390.47x = 538.89 × 292.06
  4. Step 4: Simplify right side
    390.47x = 157,385.99
  5. Step 5: Solve for x
    x = 157,385.99/390.47
  6. Step 6: Final answer
    x = 403.07

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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.