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Finding the Fourth Proportional to 562.61, 776.40 and 313.94

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Solution

The fourth proportional to 562.61, 776.40 and 313.94 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 776.40 = 313.94 : x
  2. Step 2: Convert to fraction form
    562.61/776.40 = 313.94/x
  3. Step 3: Cross multiply
    562.61x = 776.40 × 313.94
  4. Step 4: Simplify right side
    562.61x = 243,739.13
  5. Step 5: Solve for x
    x = 243,739.13/562.61
  6. Step 6: Final answer
    x = 433.23

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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.