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Finding the Fourth Proportional to 505.40, 697.20 and 298.40

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Solution

The fourth proportional to 505.40, 697.20 and 298.40 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.40 : 697.20 = 298.40 : x
  2. Step 2: Convert to fraction form
    505.40/697.20 = 298.40/x
  3. Step 3: Cross multiply
    505.40x = 697.20 × 298.40
  4. Step 4: Simplify right side
    505.40x = 208,044.48
  5. Step 5: Solve for x
    x = 208,044.48/505.40
  6. Step 6: Final answer
    x = 411.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.