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Finding the Fourth Proportional to 364.88, 544.56 and 355.16

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Solution

The fourth proportional to 364.88, 544.56 and 355.16 is: 530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 544.56 = 355.16 : x
  2. Step 2: Convert to fraction form
    364.88/544.56 = 355.16/x
  3. Step 3: Cross multiply
    364.88x = 544.56 × 355.16
  4. Step 4: Simplify right side
    364.88x = 193,408.62
  5. Step 5: Solve for x
    x = 193,408.62/364.88
  6. Step 6: Final answer
    x = 530.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.