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Finding the Fourth Proportional to 532.94, 735.06 and 524.84

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Solution

The fourth proportional to 532.94, 735.06 and 524.84 is: 723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.94 : 735.06 = 524.84 : x
  2. Step 2: Convert to fraction form
    532.94/735.06 = 524.84/x
  3. Step 3: Cross multiply
    532.94x = 735.06 × 524.84
  4. Step 4: Simplify right side
    532.94x = 385,788.89
  5. Step 5: Solve for x
    x = 385,788.89/532.94
  6. Step 6: Final answer
    x = 723.89

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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.