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Finding the Fourth Proportional to 469.17, 647.32 and 270

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Solution

The fourth proportional to 469.17, 647.32 and 270 is: 372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.17 : 647.32 = 270 : x
  2. Step 2: Convert to fraction form
    469.17/647.32 = 270/x
  3. Step 3: Cross multiply
    469.17x = 647.32 × 270
  4. Step 4: Simplify right side
    469.17x = 174,776.40
  5. Step 5: Solve for x
    x = 174,776.40/469.17
  6. Step 6: Final answer
    x = 372.52

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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.