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Finding the Fourth Proportional to 509.90, 704.06 and 457.35

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Solution

The fourth proportional to 509.90, 704.06 and 457.35 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.90 : 704.06 = 457.35 : x
  2. Step 2: Convert to fraction form
    509.90/704.06 = 457.35/x
  3. Step 3: Cross multiply
    509.90x = 704.06 × 457.35
  4. Step 4: Simplify right side
    509.90x = 321,998.63
  5. Step 5: Solve for x
    x = 321,998.63/509.90
  6. Step 6: Final answer
    x = 631.50

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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.