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Finding the Fourth Proportional to 570.31, 854.82 and 524.16

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Solution

The fourth proportional to 570.31, 854.82 and 524.16 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.31 : 854.82 = 524.16 : x
  2. Step 2: Convert to fraction form
    570.31/854.82 = 524.16/x
  3. Step 3: Cross multiply
    570.31x = 854.82 × 524.16
  4. Step 4: Simplify right side
    570.31x = 448,062.45
  5. Step 5: Solve for x
    x = 448,062.45/570.31
  6. Step 6: Final answer
    x = 785.65

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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.