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Finding the Fourth Proportional to 469.60, 705.12 and 297.36

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Solution

The fourth proportional to 469.60, 705.12 and 297.36 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.60 : 705.12 = 297.36 : x
  2. Step 2: Convert to fraction form
    469.60/705.12 = 297.36/x
  3. Step 3: Cross multiply
    469.60x = 705.12 × 297.36
  4. Step 4: Simplify right side
    469.60x = 209,674.48
  5. Step 5: Solve for x
    x = 209,674.48/469.60
  6. Step 6: Final answer
    x = 446.50

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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.