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Finding the Fourth Proportional to 594.27, 886.78 and 532.98

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Solution

The fourth proportional to 594.27, 886.78 and 532.98 is: 795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.27 : 886.78 = 532.98 : x
  2. Step 2: Convert to fraction form
    594.27/886.78 = 532.98/x
  3. Step 3: Cross multiply
    594.27x = 886.78 × 532.98
  4. Step 4: Simplify right side
    594.27x = 472,636.67
  5. Step 5: Solve for x
    x = 472,636.67/594.27
  6. Step 6: Final answer
    x = 795.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.