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Finding the Fourth Proportional to 783.32, 1,175.08 and 296.36

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Solution

The fourth proportional to 783.32, 1,175.08 and 296.36 is: 444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.32 : 1,175.08 = 296.36 : x
  2. Step 2: Convert to fraction form
    783.32/1,175.08 = 296.36/x
  3. Step 3: Cross multiply
    783.32x = 1,175.08 × 296.36
  4. Step 4: Simplify right side
    783.32x = 348,246.71
  5. Step 5: Solve for x
    x = 348,246.71/783.32
  6. Step 6: Final answer
    x = 444.58

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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.