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Finding the Fourth Proportional to 535.08, 803.74 and 463.72

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Solution

The fourth proportional to 535.08, 803.74 and 463.72 is: 696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.08 : 803.74 = 463.72 : x
  2. Step 2: Convert to fraction form
    535.08/803.74 = 463.72/x
  3. Step 3: Cross multiply
    535.08x = 803.74 × 463.72
  4. Step 4: Simplify right side
    535.08x = 372,710.31
  5. Step 5: Solve for x
    x = 372,710.31/535.08
  6. Step 6: Final answer
    x = 696.55

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