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Finding the Fourth Proportional to 576.16, 795.08 and 340.11

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Solution

The fourth proportional to 576.16, 795.08 and 340.11 is: 469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.16 : 795.08 = 340.11 : x
  2. Step 2: Convert to fraction form
    576.16/795.08 = 340.11/x
  3. Step 3: Cross multiply
    576.16x = 795.08 × 340.11
  4. Step 4: Simplify right side
    576.16x = 270,415.51
  5. Step 5: Solve for x
    x = 270,415.51/576.16
  6. Step 6: Final answer
    x = 469.34

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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.