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Finding the Fourth Proportional to 352.94, 526.33 and 309.81

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Solution

The fourth proportional to 352.94, 526.33 and 309.81 is: 462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.94 : 526.33 = 309.81 : x
  2. Step 2: Convert to fraction form
    352.94/526.33 = 309.81/x
  3. Step 3: Cross multiply
    352.94x = 526.33 × 309.81
  4. Step 4: Simplify right side
    352.94x = 163,062.30
  5. Step 5: Solve for x
    x = 163,062.30/352.94
  6. Step 6: Final answer
    x = 462.01

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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.