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Finding the Fourth Proportional to 309.50, 466.98 and 307.07

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Solution

The fourth proportional to 309.50, 466.98 and 307.07 is: 463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 466.98 = 307.07 : x
  2. Step 2: Convert to fraction form
    309.50/466.98 = 307.07/x
  3. Step 3: Cross multiply
    309.50x = 466.98 × 307.07
  4. Step 4: Simplify right side
    309.50x = 143,393.21
  5. Step 5: Solve for x
    x = 143,393.21/309.50
  6. Step 6: Final answer
    x = 463.31

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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.