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Finding the Fourth Proportional to 541.00, 744.47 and 524.98

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Solution

The fourth proportional to 541.00, 744.47 and 524.98 is: 722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.00 : 744.47 = 524.98 : x
  2. Step 2: Convert to fraction form
    541.00/744.47 = 524.98/x
  3. Step 3: Cross multiply
    541.00x = 744.47 × 524.98
  4. Step 4: Simplify right side
    541.00x = 390,830.66
  5. Step 5: Solve for x
    x = 390,830.66/541.00
  6. Step 6: Final answer
    x = 722.42

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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.