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Finding the Fourth Proportional to 586.45, 873.44 and 570.31

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Solution

The fourth proportional to 586.45, 873.44 and 570.31 is: 849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.45 : 873.44 = 570.31 : x
  2. Step 2: Convert to fraction form
    586.45/873.44 = 570.31/x
  3. Step 3: Cross multiply
    586.45x = 873.44 × 570.31
  4. Step 4: Simplify right side
    586.45x = 498,128.67
  5. Step 5: Solve for x
    x = 498,128.67/586.45
  6. Step 6: Final answer
    x = 849.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.