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Finding the Fourth Proportional to 405.51, 608.28 and 384.45

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Solution

The fourth proportional to 405.51, 608.28 and 384.45 is: 576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.51 : 608.28 = 384.45 : x
  2. Step 2: Convert to fraction form
    405.51/608.28 = 384.45/x
  3. Step 3: Cross multiply
    405.51x = 608.28 × 384.45
  4. Step 4: Simplify right side
    405.51x = 233,853.25
  5. Step 5: Solve for x
    x = 233,853.25/405.51
  6. Step 6: Final answer
    x = 576.69

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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.