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Finding the Fourth Proportional to 904.35, 1,356.80 and 384.09

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Solution

The fourth proportional to 904.35, 1,356.80 and 384.09 is: 576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.35 : 1,356.80 = 384.09 : x
  2. Step 2: Convert to fraction form
    904.35/1,356.80 = 384.09/x
  3. Step 3: Cross multiply
    904.35x = 1,356.80 × 384.09
  4. Step 4: Simplify right side
    904.35x = 521,131.39
  5. Step 5: Solve for x
    x = 521,131.39/904.35
  6. Step 6: Final answer
    x = 576.25

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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.