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Finding the Fourth Proportional to 514.58, 709.34 and 424.98

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Solution

The fourth proportional to 514.58, 709.34 and 424.98 is: 585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.58 : 709.34 = 424.98 : x
  2. Step 2: Convert to fraction form
    514.58/709.34 = 424.98/x
  3. Step 3: Cross multiply
    514.58x = 709.34 × 424.98
  4. Step 4: Simplify right side
    514.58x = 301,455.31
  5. Step 5: Solve for x
    x = 301,455.31/514.58
  6. Step 6: Final answer
    x = 585.83

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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.