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Finding the Fourth Proportional to 562.35, 776.03 and 313.67

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Solution

The fourth proportional to 562.35, 776.03 and 313.67 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.35 : 776.03 = 313.67 : x
  2. Step 2: Convert to fraction form
    562.35/776.03 = 313.67/x
  3. Step 3: Cross multiply
    562.35x = 776.03 × 313.67
  4. Step 4: Simplify right side
    562.35x = 243,411.88
  5. Step 5: Solve for x
    x = 243,411.88/562.35
  6. Step 6: Final answer
    x = 432.85

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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.