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Finding the Fourth Proportional to 320.55, 478.58 and 285.72

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Solution

The fourth proportional to 320.55, 478.58 and 285.72 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.55 : 478.58 = 285.72 : x
  2. Step 2: Convert to fraction form
    320.55/478.58 = 285.72/x
  3. Step 3: Cross multiply
    320.55x = 478.58 × 285.72
  4. Step 4: Simplify right side
    320.55x = 136,739.88
  5. Step 5: Solve for x
    x = 136,739.88/320.55
  6. Step 6: Final answer
    x = 426.58

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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.