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Finding the Fourth Proportional to 595.95, 822.39 and 334.02

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Solution

The fourth proportional to 595.95, 822.39 and 334.02 is: 460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.95 : 822.39 = 334.02 : x
  2. Step 2: Convert to fraction form
    595.95/822.39 = 334.02/x
  3. Step 3: Cross multiply
    595.95x = 822.39 × 334.02
  4. Step 4: Simplify right side
    595.95x = 274,694.71
  5. Step 5: Solve for x
    x = 274,694.71/595.95
  6. Step 6: Final answer
    x = 460.94

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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.