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Finding the Fourth Proportional to 904.16, 1,355.84 and 384.14

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Solution

The fourth proportional to 904.16, 1,355.84 and 384.14 is: 576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.16 : 1,355.84 = 384.14 : x
  2. Step 2: Convert to fraction form
    904.16/1,355.84 = 384.14/x
  3. Step 3: Cross multiply
    904.16x = 1,355.84 × 384.14
  4. Step 4: Simplify right side
    904.16x = 520,835.29
  5. Step 5: Solve for x
    x = 520,835.29/904.16
  6. Step 6: Final answer
    x = 576.04

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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.