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Finding the Fourth Proportional to 561.52, 837.50 and 529.84

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Solution

The fourth proportional to 561.52, 837.50 and 529.84 is: 790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.52 : 837.50 = 529.84 : x
  2. Step 2: Convert to fraction form
    561.52/837.50 = 529.84/x
  3. Step 3: Cross multiply
    561.52x = 837.50 × 529.84
  4. Step 4: Simplify right side
    561.52x = 443,741
  5. Step 5: Solve for x
    x = 443,741/561.52
  6. Step 6: Final answer
    x = 790.25

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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.