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Finding the Fourth Proportional to 307.08, 457.47 and 293.04

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Solution

The fourth proportional to 307.08, 457.47 and 293.04 is: 436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 457.47 = 293.04 : x
  2. Step 2: Convert to fraction form
    307.08/457.47 = 293.04/x
  3. Step 3: Cross multiply
    307.08x = 457.47 × 293.04
  4. Step 4: Simplify right side
    307.08x = 134,057.01
  5. Step 5: Solve for x
    x = 134,057.01/307.08
  6. Step 6: Final answer
    x = 436.55

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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.