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Finding the Fourth Proportional to 485.94, 670.77 and 407.10

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Solution

The fourth proportional to 485.94, 670.77 and 407.10 is: 561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.94 : 670.77 = 407.10 : x
  2. Step 2: Convert to fraction form
    485.94/670.77 = 407.10/x
  3. Step 3: Cross multiply
    485.94x = 670.77 × 407.10
  4. Step 4: Simplify right side
    485.94x = 273,070.47
  5. Step 5: Solve for x
    x = 273,070.47/485.94
  6. Step 6: Final answer
    x = 561.94

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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.