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Finding the Fourth Proportional to 598.51, 825.98 and 346.49

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Solution

The fourth proportional to 598.51, 825.98 and 346.49 is: 478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.51 : 825.98 = 346.49 : x
  2. Step 2: Convert to fraction form
    598.51/825.98 = 346.49/x
  3. Step 3: Cross multiply
    598.51x = 825.98 × 346.49
  4. Step 4: Simplify right side
    598.51x = 286,192.61
  5. Step 5: Solve for x
    x = 286,192.61/598.51
  6. Step 6: Final answer
    x = 478.18

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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.