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Finding the Fourth Proportional to 544.94, 752.03 and 312.06

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Solution

The fourth proportional to 544.94, 752.03 and 312.06 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.94 : 752.03 = 312.06 : x
  2. Step 2: Convert to fraction form
    544.94/752.03 = 312.06/x
  3. Step 3: Cross multiply
    544.94x = 752.03 × 312.06
  4. Step 4: Simplify right side
    544.94x = 234,678.48
  5. Step 5: Solve for x
    x = 234,678.48/544.94
  6. Step 6: Final answer
    x = 430.65

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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.