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Finding the Fourth Proportional to 309.10, 463.65 and 295.77

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Solution

The fourth proportional to 309.10, 463.65 and 295.77 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.10 : 463.65 = 295.77 : x
  2. Step 2: Convert to fraction form
    309.10/463.65 = 295.77/x
  3. Step 3: Cross multiply
    309.10x = 463.65 × 295.77
  4. Step 4: Simplify right side
    309.10x = 137,133.76
  5. Step 5: Solve for x
    x = 137,133.76/309.10
  6. Step 6: Final answer
    x = 443.66

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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.