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Finding the Fourth Proportional to 615.78, 925.74 and 434.48

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Solution

The fourth proportional to 615.78, 925.74 and 434.48 is: 653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 925.74 = 434.48 : x
  2. Step 2: Convert to fraction form
    615.78/925.74 = 434.48/x
  3. Step 3: Cross multiply
    615.78x = 925.74 × 434.48
  4. Step 4: Simplify right side
    615.78x = 402,210.89
  5. Step 5: Solve for x
    x = 402,210.89/615.78
  6. Step 6: Final answer
    x = 653.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.