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Finding the Fourth Proportional to 529.70, 731.01 and 302.63

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Solution

The fourth proportional to 529.70, 731.01 and 302.63 is: 417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.70 : 731.01 = 302.63 : x
  2. Step 2: Convert to fraction form
    529.70/731.01 = 302.63/x
  3. Step 3: Cross multiply
    529.70x = 731.01 × 302.63
  4. Step 4: Simplify right side
    529.70x = 221,221.90
  5. Step 5: Solve for x
    x = 221,221.90/529.70
  6. Step 6: Final answer
    x = 417.64

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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.