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Finding the Fourth Proportional to 525.41, 788.08 and 319.32

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Solution

The fourth proportional to 525.41, 788.08 and 319.32 is: 478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.41 : 788.08 = 319.32 : x
  2. Step 2: Convert to fraction form
    525.41/788.08 = 319.32/x
  3. Step 3: Cross multiply
    525.41x = 788.08 × 319.32
  4. Step 4: Simplify right side
    525.41x = 251,647.29
  5. Step 5: Solve for x
    x = 251,647.29/525.41
  6. Step 6: Final answer
    x = 478.95

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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.