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Finding the Fourth Proportional to 486.36, 670.10 and 407.40

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Solution

The fourth proportional to 486.36, 670.10 and 407.40 is: 561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.36 : 670.10 = 407.40 : x
  2. Step 2: Convert to fraction form
    486.36/670.10 = 407.40/x
  3. Step 3: Cross multiply
    486.36x = 670.10 × 407.40
  4. Step 4: Simplify right side
    486.36x = 272,998.74
  5. Step 5: Solve for x
    x = 272,998.74/486.36
  6. Step 6: Final answer
    x = 561.31

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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.