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Finding the Fourth Proportional to 598.05, 823.06 and 506

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Solution

The fourth proportional to 598.05, 823.06 and 506 is: 696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.05 : 823.06 = 506 : x
  2. Step 2: Convert to fraction form
    598.05/823.06 = 506/x
  3. Step 3: Cross multiply
    598.05x = 823.06 × 506
  4. Step 4: Simplify right side
    598.05x = 416,465.83
  5. Step 5: Solve for x
    x = 416,465.83/598.05
  6. Step 6: Final answer
    x = 696.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.