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Finding the Fourth Proportional to 904.20, 1,355.64 and 319.08

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Solution

The fourth proportional to 904.20, 1,355.64 and 319.08 is: 478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.20 : 1,355.64 = 319.08 : x
  2. Step 2: Convert to fraction form
    904.20/1,355.64 = 319.08/x
  3. Step 3: Cross multiply
    904.20x = 1,355.64 × 319.08
  4. Step 4: Simplify right side
    904.20x = 432,557.61
  5. Step 5: Solve for x
    x = 432,557.61/904.20
  6. Step 6: Final answer
    x = 478.39

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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.