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Finding the Fourth Proportional to 976.93, 1,465.41 and 384.01

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Solution

The fourth proportional to 976.93, 1,465.41 and 384.01 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.93 : 1,465.41 = 384.01 : x
  2. Step 2: Convert to fraction form
    976.93/1,465.41 = 384.01/x
  3. Step 3: Cross multiply
    976.93x = 1,465.41 × 384.01
  4. Step 4: Simplify right side
    976.93x = 562,737.79
  5. Step 5: Solve for x
    x = 562,737.79/976.93
  6. Step 6: Final answer
    x = 576.02

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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.