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Finding the Fourth Proportional to 528.39, 727.59 and 478.96

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Solution

The fourth proportional to 528.39, 727.59 and 478.96 is: 659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.39 : 727.59 = 478.96 : x
  2. Step 2: Convert to fraction form
    528.39/727.59 = 478.96/x
  3. Step 3: Cross multiply
    528.39x = 727.59 × 478.96
  4. Step 4: Simplify right side
    528.39x = 348,486.51
  5. Step 5: Solve for x
    x = 348,486.51/528.39
  6. Step 6: Final answer
    x = 659.53

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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.