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Finding the Fourth Proportional to 532.63, 735.23 and 358.07

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Solution

The fourth proportional to 532.63, 735.23 and 358.07 is: 494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.63 : 735.23 = 358.07 : x
  2. Step 2: Convert to fraction form
    532.63/735.23 = 358.07/x
  3. Step 3: Cross multiply
    532.63x = 735.23 × 358.07
  4. Step 4: Simplify right side
    532.63x = 263,262.02
  5. Step 5: Solve for x
    x = 263,262.02/532.63
  6. Step 6: Final answer
    x = 494.27

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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.