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Finding the Fourth Proportional to 595.68, 821.91 and 346.92

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Solution

The fourth proportional to 595.68, 821.91 and 346.92 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 821.91 = 346.92 : x
  2. Step 2: Convert to fraction form
    595.68/821.91 = 346.92/x
  3. Step 3: Cross multiply
    595.68x = 821.91 × 346.92
  4. Step 4: Simplify right side
    595.68x = 285,137.02
  5. Step 5: Solve for x
    x = 285,137.02/595.68
  6. Step 6: Final answer
    x = 478.67

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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.