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Finding the Fourth Proportional to 904.42, 1,357.17 and 384.40

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Solution

The fourth proportional to 904.42, 1,357.17 and 384.40 is: 576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.42 : 1,357.17 = 384.40 : x
  2. Step 2: Convert to fraction form
    904.42/1,357.17 = 384.40/x
  3. Step 3: Cross multiply
    904.42x = 1,357.17 × 384.40
  4. Step 4: Simplify right side
    904.42x = 521,696.15
  5. Step 5: Solve for x
    x = 521,696.15/904.42
  6. Step 6: Final answer
    x = 576.83

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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.