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Finding the Fourth Proportional to 469.65, 648.04 and 283.08

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Solution

The fourth proportional to 469.65, 648.04 and 283.08 is: 390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.65 : 648.04 = 283.08 : x
  2. Step 2: Convert to fraction form
    469.65/648.04 = 283.08/x
  3. Step 3: Cross multiply
    469.65x = 648.04 × 283.08
  4. Step 4: Simplify right side
    469.65x = 183,445.75
  5. Step 5: Solve for x
    x = 183,445.75/469.65
  6. Step 6: Final answer
    x = 390.60

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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.