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Finding the Fourth Proportional to 307.56, 463.62 and 303.24

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Solution

The fourth proportional to 307.56, 463.62 and 303.24 is: 457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.56 : 463.62 = 303.24 : x
  2. Step 2: Convert to fraction form
    307.56/463.62 = 303.24/x
  3. Step 3: Cross multiply
    307.56x = 463.62 × 303.24
  4. Step 4: Simplify right side
    307.56x = 140,588.13
  5. Step 5: Solve for x
    x = 140,588.13/307.56
  6. Step 6: Final answer
    x = 457.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.