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Finding the Fourth Proportional to 585.69, 881.76 and 534.66

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Solution

The fourth proportional to 585.69, 881.76 and 534.66 is: 804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.69 : 881.76 = 534.66 : x
  2. Step 2: Convert to fraction form
    585.69/881.76 = 534.66/x
  3. Step 3: Cross multiply
    585.69x = 881.76 × 534.66
  4. Step 4: Simplify right side
    585.69x = 471,441.80
  5. Step 5: Solve for x
    x = 471,441.80/585.69
  6. Step 6: Final answer
    x = 804.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.