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Finding the Fourth Proportional to 532.93, 797.68 and 285.51

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Solution

The fourth proportional to 532.93, 797.68 and 285.51 is: 427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.93 : 797.68 = 285.51 : x
  2. Step 2: Convert to fraction form
    532.93/797.68 = 285.51/x
  3. Step 3: Cross multiply
    532.93x = 797.68 × 285.51
  4. Step 4: Simplify right side
    532.93x = 227,744.19
  5. Step 5: Solve for x
    x = 227,744.19/532.93
  6. Step 6: Final answer
    x = 427.35

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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.