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Finding the Fourth Proportional to 355.71, 529.92 and 342.65

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Solution

The fourth proportional to 355.71, 529.92 and 342.65 is: 510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.71 : 529.92 = 342.65 : x
  2. Step 2: Convert to fraction form
    355.71/529.92 = 342.65/x
  3. Step 3: Cross multiply
    355.71x = 529.92 × 342.65
  4. Step 4: Simplify right side
    355.71x = 181,574.44
  5. Step 5: Solve for x
    x = 181,574.44/355.71
  6. Step 6: Final answer
    x = 510.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.