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Finding the Fourth Proportional to 532.98, 799.47 and 316.51

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Solution

The fourth proportional to 532.98, 799.47 and 316.51 is: 474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 799.47 = 316.51 : x
  2. Step 2: Convert to fraction form
    532.98/799.47 = 316.51/x
  3. Step 3: Cross multiply
    532.98x = 799.47 × 316.51
  4. Step 4: Simplify right side
    532.98x = 253,038.25
  5. Step 5: Solve for x
    x = 253,038.25/532.98
  6. Step 6: Final answer
    x = 474.76

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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.