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Finding the Fourth Proportional to 522, 783.03 and 290.72

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Solution

The fourth proportional to 522, 783.03 and 290.72 is: 436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 783.03 = 290.72 : x
  2. Step 2: Convert to fraction form
    522/783.03 = 290.72/x
  3. Step 3: Cross multiply
    522x = 783.03 × 290.72
  4. Step 4: Simplify right side
    522x = 227,637.11
  5. Step 5: Solve for x
    x = 227,637.11/522
  6. Step 6: Final answer
    x = 436.09

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Why These Related Problems?

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