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Finding the Fourth Proportional to 513.04, 706.16 and 429.24

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Solution

The fourth proportional to 513.04, 706.16 and 429.24 is: 590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.04 : 706.16 = 429.24 : x
  2. Step 2: Convert to fraction form
    513.04/706.16 = 429.24/x
  3. Step 3: Cross multiply
    513.04x = 706.16 × 429.24
  4. Step 4: Simplify right side
    513.04x = 303,112.12
  5. Step 5: Solve for x
    x = 303,112.12/513.04
  6. Step 6: Final answer
    x = 590.82

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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.