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Finding the Fourth Proportional to 693.06, 956.53 and 431.16

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Solution

The fourth proportional to 693.06, 956.53 and 431.16 is: 595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.06 : 956.53 = 431.16 : x
  2. Step 2: Convert to fraction form
    693.06/956.53 = 431.16/x
  3. Step 3: Cross multiply
    693.06x = 956.53 × 431.16
  4. Step 4: Simplify right side
    693.06x = 412,417.47
  5. Step 5: Solve for x
    x = 412,417.47/693.06
  6. Step 6: Final answer
    x = 595.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.