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Finding the Fourth Proportional to 598.15, 896.04 and 460.72

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Solution

The fourth proportional to 598.15, 896.04 and 460.72 is: 690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.15 : 896.04 = 460.72 : x
  2. Step 2: Convert to fraction form
    598.15/896.04 = 460.72/x
  3. Step 3: Cross multiply
    598.15x = 896.04 × 460.72
  4. Step 4: Simplify right side
    598.15x = 412,823.55
  5. Step 5: Solve for x
    x = 412,823.55/598.15
  6. Step 6: Final answer
    x = 690.17

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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.