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Finding the Fourth Proportional to 470.10, 705.24 and 307.56

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Solution

The fourth proportional to 470.10, 705.24 and 307.56 is: 461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.10 : 705.24 = 307.56 : x
  2. Step 2: Convert to fraction form
    470.10/705.24 = 307.56/x
  3. Step 3: Cross multiply
    470.10x = 705.24 × 307.56
  4. Step 4: Simplify right side
    470.10x = 216,903.61
  5. Step 5: Solve for x
    x = 216,903.61/470.10
  6. Step 6: Final answer
    x = 461.40

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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.