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Finding the Fourth Proportional to 512.09, 705.00 and 429.06

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Solution

The fourth proportional to 512.09, 705.00 and 429.06 is: 590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 705.00 = 429.06 : x
  2. Step 2: Convert to fraction form
    512.09/705.00 = 429.06/x
  3. Step 3: Cross multiply
    512.09x = 705.00 × 429.06
  4. Step 4: Simplify right side
    512.09x = 302,491.55
  5. Step 5: Solve for x
    x = 302,491.55/512.09
  6. Step 6: Final answer
    x = 590.70

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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.