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Finding the Fourth Proportional to 528.94, 726.89 and 435.52

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Solution

The fourth proportional to 528.94, 726.89 and 435.52 is: 598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.94 : 726.89 = 435.52 : x
  2. Step 2: Convert to fraction form
    528.94/726.89 = 435.52/x
  3. Step 3: Cross multiply
    528.94x = 726.89 × 435.52
  4. Step 4: Simplify right side
    528.94x = 316,575.13
  5. Step 5: Solve for x
    x = 316,575.13/528.94
  6. Step 6: Final answer
    x = 598.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.