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Finding the Fourth Proportional to 469.83, 703.71 and 304.72

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Solution

The fourth proportional to 469.83, 703.71 and 304.72 is: 456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.83 : 703.71 = 304.72 : x
  2. Step 2: Convert to fraction form
    469.83/703.71 = 304.72/x
  3. Step 3: Cross multiply
    469.83x = 703.71 × 304.72
  4. Step 4: Simplify right side
    469.83x = 214,430.23
  5. Step 5: Solve for x
    x = 214,430.23/469.83
  6. Step 6: Final answer
    x = 456.40

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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.