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Finding the Fourth Proportional to 582.31, 873.51 and 430.12

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Solution

The fourth proportional to 582.31, 873.51 and 430.12 is: 645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 873.51 = 430.12 : x
  2. Step 2: Convert to fraction form
    582.31/873.51 = 430.12/x
  3. Step 3: Cross multiply
    582.31x = 873.51 × 430.12
  4. Step 4: Simplify right side
    582.31x = 375,714.12
  5. Step 5: Solve for x
    x = 375,714.12/582.31
  6. Step 6: Final answer
    x = 645.21

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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.