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Finding the Fourth Proportional to 597.46, 896.46 and 309.10

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Solution

The fourth proportional to 597.46, 896.46 and 309.10 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 896.46 = 309.10 : x
  2. Step 2: Convert to fraction form
    597.46/896.46 = 309.10/x
  3. Step 3: Cross multiply
    597.46x = 896.46 × 309.10
  4. Step 4: Simplify right side
    597.46x = 277,095.79
  5. Step 5: Solve for x
    x = 277,095.79/597.46
  6. Step 6: Final answer
    x = 463.79

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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.