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Finding the Fourth Proportional to 575.88, 866.96 and 524.86

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Solution

The fourth proportional to 575.88, 866.96 and 524.86 is: 790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.88 : 866.96 = 524.86 : x
  2. Step 2: Convert to fraction form
    575.88/866.96 = 524.86/x
  3. Step 3: Cross multiply
    575.88x = 866.96 × 524.86
  4. Step 4: Simplify right side
    575.88x = 455,032.63
  5. Step 5: Solve for x
    x = 455,032.63/575.88
  6. Step 6: Final answer
    x = 790.15

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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.