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Finding the Fourth Proportional to 390.76, 538.76 and 285.77

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Solution

The fourth proportional to 390.76, 538.76 and 285.77 is: 394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.76 : 538.76 = 285.77 : x
  2. Step 2: Convert to fraction form
    390.76/538.76 = 285.77/x
  3. Step 3: Cross multiply
    390.76x = 538.76 × 285.77
  4. Step 4: Simplify right side
    390.76x = 153,959.47
  5. Step 5: Solve for x
    x = 153,959.47/390.76
  6. Step 6: Final answer
    x = 394.00

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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.