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Finding the Fourth Proportional to 524.64, 788.48 and 478.36

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Solution

The fourth proportional to 524.64, 788.48 and 478.36 is: 718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 788.48 = 478.36 : x
  2. Step 2: Convert to fraction form
    524.64/788.48 = 478.36/x
  3. Step 3: Cross multiply
    524.64x = 788.48 × 478.36
  4. Step 4: Simplify right side
    524.64x = 377,177.29
  5. Step 5: Solve for x
    x = 377,177.29/524.64
  6. Step 6: Final answer
    x = 718.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.