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Finding the Fourth Proportional to 562.34, 775.98 and 313.65

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Solution

The fourth proportional to 562.34, 775.98 and 313.65 is: 432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.34 : 775.98 = 313.65 : x
  2. Step 2: Convert to fraction form
    562.34/775.98 = 313.65/x
  3. Step 3: Cross multiply
    562.34x = 775.98 × 313.65
  4. Step 4: Simplify right side
    562.34x = 243,386.13
  5. Step 5: Solve for x
    x = 243,386.13/562.34
  6. Step 6: Final answer
    x = 432.81

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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.