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Finding the Fourth Proportional to 532, 734.32 and 427.44

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Solution

The fourth proportional to 532, 734.32 and 427.44 is: 590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 734.32 = 427.44 : x
  2. Step 2: Convert to fraction form
    532/734.32 = 427.44/x
  3. Step 3: Cross multiply
    532x = 734.32 × 427.44
  4. Step 4: Simplify right side
    532x = 313,877.74
  5. Step 5: Solve for x
    x = 313,877.74/532
  6. Step 6: Final answer
    x = 590.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.