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Finding the Fourth Proportional to 562.64, 776.50 and 314.04

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Solution

The fourth proportional to 562.64, 776.50 and 314.04 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 776.50 = 314.04 : x
  2. Step 2: Convert to fraction form
    562.64/776.50 = 314.04/x
  3. Step 3: Cross multiply
    562.64x = 776.50 × 314.04
  4. Step 4: Simplify right side
    562.64x = 243,852.06
  5. Step 5: Solve for x
    x = 243,852.06/562.64
  6. Step 6: Final answer
    x = 433.41

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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.