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Finding the Fourth Proportional to 356.02, 491.04 and 293.75

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Solution

The fourth proportional to 356.02, 491.04 and 293.75 is: 405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.02 : 491.04 = 293.75 : x
  2. Step 2: Convert to fraction form
    356.02/491.04 = 293.75/x
  3. Step 3: Cross multiply
    356.02x = 491.04 × 293.75
  4. Step 4: Simplify right side
    356.02x = 144,242.94
  5. Step 5: Solve for x
    x = 144,242.94/356.02
  6. Step 6: Final answer
    x = 405.15

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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.