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Finding the Fourth Proportional to 405.06, 555.38 and 384.18

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Solution

The fourth proportional to 405.06, 555.38 and 384.18 is: 526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.06 : 555.38 = 384.18 : x
  2. Step 2: Convert to fraction form
    405.06/555.38 = 384.18/x
  3. Step 3: Cross multiply
    405.06x = 555.38 × 384.18
  4. Step 4: Simplify right side
    405.06x = 213,363.97
  5. Step 5: Solve for x
    x = 213,363.97/405.06
  6. Step 6: Final answer
    x = 526.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.