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Finding the Fourth Proportional to 904.54, 1,355.74 and 384.22

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Solution

The fourth proportional to 904.54, 1,355.74 and 384.22 is: 575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.54 : 1,355.74 = 384.22 : x
  2. Step 2: Convert to fraction form
    904.54/1,355.74 = 384.22/x
  3. Step 3: Cross multiply
    904.54x = 1,355.74 × 384.22
  4. Step 4: Simplify right side
    904.54x = 520,902.42
  5. Step 5: Solve for x
    x = 520,902.42/904.54
  6. Step 6: Final answer
    x = 575.88

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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.