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Finding the Fourth Proportional to 554.64, 831.24 and 265.20

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Solution

The fourth proportional to 554.64, 831.24 and 265.20 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.64 : 831.24 = 265.20 : x
  2. Step 2: Convert to fraction form
    554.64/831.24 = 265.20/x
  3. Step 3: Cross multiply
    554.64x = 831.24 × 265.20
  4. Step 4: Simplify right side
    554.64x = 220,444.85
  5. Step 5: Solve for x
    x = 220,444.85/554.64
  6. Step 6: Final answer
    x = 397.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.