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Finding the Fourth Proportional to 562.45, 776.16 and 313.76

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Solution

The fourth proportional to 562.45, 776.16 and 313.76 is: 432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.45 : 776.16 = 313.76 : x
  2. Step 2: Convert to fraction form
    562.45/776.16 = 313.76/x
  3. Step 3: Cross multiply
    562.45x = 776.16 × 313.76
  4. Step 4: Simplify right side
    562.45x = 243,527.96
  5. Step 5: Solve for x
    x = 243,527.96/562.45
  6. Step 6: Final answer
    x = 432.98

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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.