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Finding the Fourth Proportional to 904.83, 1,356.80 and 384.75

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Solution

The fourth proportional to 904.83, 1,356.80 and 384.75 is: 576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.83 : 1,356.80 = 384.75 : x
  2. Step 2: Convert to fraction form
    904.83/1,356.80 = 384.75/x
  3. Step 3: Cross multiply
    904.83x = 1,356.80 × 384.75
  4. Step 4: Simplify right side
    904.83x = 522,026.88
  5. Step 5: Solve for x
    x = 522,026.88/904.83
  6. Step 6: Final answer
    x = 576.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.