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Finding the Fourth Proportional to 354.98, 529.67 and 320.42

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Solution

The fourth proportional to 354.98, 529.67 and 320.42 is: 478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.98 : 529.67 = 320.42 : x
  2. Step 2: Convert to fraction form
    354.98/529.67 = 320.42/x
  3. Step 3: Cross multiply
    354.98x = 529.67 × 320.42
  4. Step 4: Simplify right side
    354.98x = 169,712.61
  5. Step 5: Solve for x
    x = 169,712.61/354.98
  6. Step 6: Final answer
    x = 478.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.