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Finding the Fourth Proportional to 354.78, 529.74 and 289.71

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Solution

The fourth proportional to 354.78, 529.74 and 289.71 is: 432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 529.74 = 289.71 : x
  2. Step 2: Convert to fraction form
    354.78/529.74 = 289.71/x
  3. Step 3: Cross multiply
    354.78x = 529.74 × 289.71
  4. Step 4: Simplify right side
    354.78x = 153,470.98
  5. Step 5: Solve for x
    x = 153,470.98/354.78
  6. Step 6: Final answer
    x = 432.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.