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Finding the Fourth Proportional to 576, 794.88 and 314.02

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Solution

The fourth proportional to 576, 794.88 and 314.02 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 794.88 = 314.02 : x
  2. Step 2: Convert to fraction form
    576/794.88 = 314.02/x
  3. Step 3: Cross multiply
    576x = 794.88 × 314.02
  4. Step 4: Simplify right side
    576x = 249,605.24
  5. Step 5: Solve for x
    x = 249,605.24/576
  6. Step 6: Final answer
    x = 433.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.