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Finding the Fourth Proportional to 522.51, 783.87 and 291.54

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Solution

The fourth proportional to 522.51, 783.87 and 291.54 is: 437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.51 : 783.87 = 291.54 : x
  2. Step 2: Convert to fraction form
    522.51/783.87 = 291.54/x
  3. Step 3: Cross multiply
    522.51x = 783.87 × 291.54
  4. Step 4: Simplify right side
    522.51x = 228,529.46
  5. Step 5: Solve for x
    x = 228,529.46/522.51
  6. Step 6: Final answer
    x = 437.37

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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.