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Finding the Fourth Proportional to 554.60, 831.95 and 294.50

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Solution

The fourth proportional to 554.60, 831.95 and 294.50 is: 441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.60 : 831.95 = 294.50 : x
  2. Step 2: Convert to fraction form
    554.60/831.95 = 294.50/x
  3. Step 3: Cross multiply
    554.60x = 831.95 × 294.50
  4. Step 4: Simplify right side
    554.60x = 245,009.28
  5. Step 5: Solve for x
    x = 245,009.28/554.60
  6. Step 6: Final answer
    x = 441.78

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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.