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Finding the Fourth Proportional to 457.05, 684.88 and 384.15

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Solution

The fourth proportional to 457.05, 684.88 and 384.15 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 684.88 = 384.15 : x
  2. Step 2: Convert to fraction form
    457.05/684.88 = 384.15/x
  3. Step 3: Cross multiply
    457.05x = 684.88 × 384.15
  4. Step 4: Simplify right side
    457.05x = 263,095.69
  5. Step 5: Solve for x
    x = 263,095.69/457.05
  6. Step 6: Final answer
    x = 575.64

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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.