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Finding the Fourth Proportional to 512.56, 707.59 and 302.80

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Solution

The fourth proportional to 512.56, 707.59 and 302.80 is: 418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.56 : 707.59 = 302.80 : x
  2. Step 2: Convert to fraction form
    512.56/707.59 = 302.80/x
  3. Step 3: Cross multiply
    512.56x = 707.59 × 302.80
  4. Step 4: Simplify right side
    512.56x = 214,254.71
  5. Step 5: Solve for x
    x = 214,254.71/512.56
  6. Step 6: Final answer
    x = 418.01

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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.