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Finding the Fourth Proportional to 570.15, 854.49 and 432.75

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Solution

The fourth proportional to 570.15, 854.49 and 432.75 is: 648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.15 : 854.49 = 432.75 : x
  2. Step 2: Convert to fraction form
    570.15/854.49 = 432.75/x
  3. Step 3: Cross multiply
    570.15x = 854.49 × 432.75
  4. Step 4: Simplify right side
    570.15x = 369,780.55
  5. Step 5: Solve for x
    x = 369,780.55/570.15
  6. Step 6: Final answer
    x = 648.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.