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Finding the Fourth Proportional to 532.98, 735.39 and 346.59

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Solution

The fourth proportional to 532.98, 735.39 and 346.59 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 735.39 = 346.59 : x
  2. Step 2: Convert to fraction form
    532.98/735.39 = 346.59/x
  3. Step 3: Cross multiply
    532.98x = 735.39 × 346.59
  4. Step 4: Simplify right side
    532.98x = 254,878.82
  5. Step 5: Solve for x
    x = 254,878.82/532.98
  6. Step 6: Final answer
    x = 478.21

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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.