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Finding the Fourth Proportional to 512.57, 707.06 and 302.72

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Solution

The fourth proportional to 512.57, 707.06 and 302.72 is: 417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.57 : 707.06 = 302.72 : x
  2. Step 2: Convert to fraction form
    512.57/707.06 = 302.72/x
  3. Step 3: Cross multiply
    512.57x = 707.06 × 302.72
  4. Step 4: Simplify right side
    512.57x = 214,038.42
  5. Step 5: Solve for x
    x = 214,038.42/512.57
  6. Step 6: Final answer
    x = 417.58

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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.