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Finding the Fourth Proportional to 584.96, 808 and 526.72

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Solution

The fourth proportional to 584.96, 808 and 526.72 is: 727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.96 : 808 = 526.72 : x
  2. Step 2: Convert to fraction form
    584.96/808 = 526.72/x
  3. Step 3: Cross multiply
    584.96x = 808 × 526.72
  4. Step 4: Simplify right side
    584.96x = 425,589.76
  5. Step 5: Solve for x
    x = 425,589.76/584.96
  6. Step 6: Final answer
    x = 727.55

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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.