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Finding the Fourth Proportional to 385.23, 577.42 and 293.63

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Solution

The fourth proportional to 385.23, 577.42 and 293.63 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.23 : 577.42 = 293.63 : x
  2. Step 2: Convert to fraction form
    385.23/577.42 = 293.63/x
  3. Step 3: Cross multiply
    385.23x = 577.42 × 293.63
  4. Step 4: Simplify right side
    385.23x = 169,547.83
  5. Step 5: Solve for x
    x = 169,547.83/385.23
  6. Step 6: Final answer
    x = 440.12

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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.