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Finding the Fourth Proportional to 631.58, 947.83 and 319.52

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Solution

The fourth proportional to 631.58, 947.83 and 319.52 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.58 : 947.83 = 319.52 : x
  2. Step 2: Convert to fraction form
    631.58/947.83 = 319.52/x
  3. Step 3: Cross multiply
    631.58x = 947.83 × 319.52
  4. Step 4: Simplify right side
    631.58x = 302,852.21
  5. Step 5: Solve for x
    x = 302,852.21/631.58
  6. Step 6: Final answer
    x = 479.52

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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.