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Finding the Fourth Proportional to 510.64, 704.78 and 314.32

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Solution

The fourth proportional to 510.64, 704.78 and 314.32 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.64 : 704.78 = 314.32 : x
  2. Step 2: Convert to fraction form
    510.64/704.78 = 314.32/x
  3. Step 3: Cross multiply
    510.64x = 704.78 × 314.32
  4. Step 4: Simplify right side
    510.64x = 221,526.45
  5. Step 5: Solve for x
    x = 221,526.45/510.64
  6. Step 6: Final answer
    x = 433.82

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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.