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Finding the Fourth Proportional to 524.06, 788.83 and 473.79

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Solution

The fourth proportional to 524.06, 788.83 and 473.79 is: 713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 788.83 = 473.79 : x
  2. Step 2: Convert to fraction form
    524.06/788.83 = 473.79/x
  3. Step 3: Cross multiply
    524.06x = 788.83 × 473.79
  4. Step 4: Simplify right side
    524.06x = 373,739.77
  5. Step 5: Solve for x
    x = 373,739.77/524.06
  6. Step 6: Final answer
    x = 713.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.