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Finding the Fourth Proportional to 473.16, 652.86 and 342.84

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Solution

The fourth proportional to 473.16, 652.86 and 342.84 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.16 : 652.86 = 342.84 : x
  2. Step 2: Convert to fraction form
    473.16/652.86 = 342.84/x
  3. Step 3: Cross multiply
    473.16x = 652.86 × 342.84
  4. Step 4: Simplify right side
    473.16x = 223,826.52
  5. Step 5: Solve for x
    x = 223,826.52/473.16
  6. Step 6: Final answer
    x = 473.05

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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.