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Finding the Fourth Proportional to 469.47, 647.51 and 359.31

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Solution

The fourth proportional to 469.47, 647.51 and 359.31 is: 495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.47 : 647.51 = 359.31 : x
  2. Step 2: Convert to fraction form
    469.47/647.51 = 359.31/x
  3. Step 3: Cross multiply
    469.47x = 647.51 × 359.31
  4. Step 4: Simplify right side
    469.47x = 232,656.82
  5. Step 5: Solve for x
    x = 232,656.82/469.47
  6. Step 6: Final answer
    x = 495.57

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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.