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Finding the Fourth Proportional to 528.41, 788.01 and 463.72

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Solution

The fourth proportional to 528.41, 788.01 and 463.72 is: 691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.41 : 788.01 = 463.72 : x
  2. Step 2: Convert to fraction form
    528.41/788.01 = 463.72/x
  3. Step 3: Cross multiply
    528.41x = 788.01 × 463.72
  4. Step 4: Simplify right side
    528.41x = 365,416.00
  5. Step 5: Solve for x
    x = 365,416.00/528.41
  6. Step 6: Final answer
    x = 691.54

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