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Finding the Fourth Proportional to 420.84, 630.82 and 305

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Solution

The fourth proportional to 420.84, 630.82 and 305 is: 457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 630.82 = 305 : x
  2. Step 2: Convert to fraction form
    420.84/630.82 = 305/x
  3. Step 3: Cross multiply
    420.84x = 630.82 × 305
  4. Step 4: Simplify right side
    420.84x = 192,400.10
  5. Step 5: Solve for x
    x = 192,400.10/420.84
  6. Step 6: Final answer
    x = 457.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.