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Finding the Fourth Proportional to 577.08, 865.65 and 509.07

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Solution

The fourth proportional to 577.08, 865.65 and 509.07 is: 763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.08 : 865.65 = 509.07 : x
  2. Step 2: Convert to fraction form
    577.08/865.65 = 509.07/x
  3. Step 3: Cross multiply
    577.08x = 865.65 × 509.07
  4. Step 4: Simplify right side
    577.08x = 440,676.45
  5. Step 5: Solve for x
    x = 440,676.45/577.08
  6. Step 6: Final answer
    x = 763.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.