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Finding the Fourth Proportional to 334.61, 461.53 and 307.07

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Solution

The fourth proportional to 334.61, 461.53 and 307.07 is: 423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.61 : 461.53 = 307.07 : x
  2. Step 2: Convert to fraction form
    334.61/461.53 = 307.07/x
  3. Step 3: Cross multiply
    334.61x = 461.53 × 307.07
  4. Step 4: Simplify right side
    334.61x = 141,722.02
  5. Step 5: Solve for x
    x = 141,722.02/334.61
  6. Step 6: Final answer
    x = 423.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.