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Finding the Fourth Proportional to 352.80, 526.01 and 334.80

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Solution

The fourth proportional to 352.80, 526.01 and 334.80 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.80 : 526.01 = 334.80 : x
  2. Step 2: Convert to fraction form
    352.80/526.01 = 334.80/x
  3. Step 3: Cross multiply
    352.80x = 526.01 × 334.80
  4. Step 4: Simplify right side
    352.80x = 176,106.47
  5. Step 5: Solve for x
    x = 176,106.47/352.80
  6. Step 6: Final answer
    x = 499.17

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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.