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Finding the Fourth Proportional to 595.66, 822.01 and 333.67

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Solution

The fourth proportional to 595.66, 822.01 and 333.67 is: 460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.66 : 822.01 = 333.67 : x
  2. Step 2: Convert to fraction form
    595.66/822.01 = 333.67/x
  3. Step 3: Cross multiply
    595.66x = 822.01 × 333.67
  4. Step 4: Simplify right side
    595.66x = 274,280.46
  5. Step 5: Solve for x
    x = 274,280.46/595.66
  6. Step 6: Final answer
    x = 460.47

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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.