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Finding the Fourth Proportional to 509.04, 700.65 and 425.22

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Solution

The fourth proportional to 509.04, 700.65 and 425.22 is: 585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 700.65 = 425.22 : x
  2. Step 2: Convert to fraction form
    509.04/700.65 = 425.22/x
  3. Step 3: Cross multiply
    509.04x = 700.65 × 425.22
  4. Step 4: Simplify right side
    509.04x = 297,930.39
  5. Step 5: Solve for x
    x = 297,930.39/509.04
  6. Step 6: Final answer
    x = 585.28

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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.