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Finding the Fourth Proportional to 581.77, 800.85 and 529.53

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Solution

The fourth proportional to 581.77, 800.85 and 529.53 is: 728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.77 : 800.85 = 529.53 : x
  2. Step 2: Convert to fraction form
    581.77/800.85 = 529.53/x
  3. Step 3: Cross multiply
    581.77x = 800.85 × 529.53
  4. Step 4: Simplify right side
    581.77x = 424,074.10
  5. Step 5: Solve for x
    x = 424,074.10/581.77
  6. Step 6: Final answer
    x = 728.94

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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.