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Finding the Fourth Proportional to 529.41, 790.32 and 491.34

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Solution

The fourth proportional to 529.41, 790.32 and 491.34 is: 733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.41 : 790.32 = 491.34 : x
  2. Step 2: Convert to fraction form
    529.41/790.32 = 491.34/x
  3. Step 3: Cross multiply
    529.41x = 790.32 × 491.34
  4. Step 4: Simplify right side
    529.41x = 388,315.83
  5. Step 5: Solve for x
    x = 388,315.83/529.41
  6. Step 6: Final answer
    x = 733.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.