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Finding the Fourth Proportional to 529.51, 730.70 and 293.45

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Solution

The fourth proportional to 529.51, 730.70 and 293.45 is: 404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.51 : 730.70 = 293.45 : x
  2. Step 2: Convert to fraction form
    529.51/730.70 = 293.45/x
  3. Step 3: Cross multiply
    529.51x = 730.70 × 293.45
  4. Step 4: Simplify right side
    529.51x = 214,423.92
  5. Step 5: Solve for x
    x = 214,423.92/529.51
  6. Step 6: Final answer
    x = 404.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.