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Finding the Fourth Proportional to 598.53, 825.86 and 346.47

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Solution

The fourth proportional to 598.53, 825.86 and 346.47 is: 478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.53 : 825.86 = 346.47 : x
  2. Step 2: Convert to fraction form
    598.53/825.86 = 346.47/x
  3. Step 3: Cross multiply
    598.53x = 825.86 × 346.47
  4. Step 4: Simplify right side
    598.53x = 286,135.71
  5. Step 5: Solve for x
    x = 286,135.71/598.53
  6. Step 6: Final answer
    x = 478.06

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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.