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Finding the Fourth Proportional to 570.22, 783.48 and 453.58

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Solution

The fourth proportional to 570.22, 783.48 and 453.58 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.22 : 783.48 = 453.58 : x
  2. Step 2: Convert to fraction form
    570.22/783.48 = 453.58/x
  3. Step 3: Cross multiply
    570.22x = 783.48 × 453.58
  4. Step 4: Simplify right side
    570.22x = 355,370.86
  5. Step 5: Solve for x
    x = 355,370.86/570.22
  6. Step 6: Final answer
    x = 623.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.