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Finding the Fourth Proportional to 633.06, 873.70 and 485.64

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Solution

The fourth proportional to 633.06, 873.70 and 485.64 is: 670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.06 : 873.70 = 485.64 : x
  2. Step 2: Convert to fraction form
    633.06/873.70 = 485.64/x
  3. Step 3: Cross multiply
    633.06x = 873.70 × 485.64
  4. Step 4: Simplify right side
    633.06x = 424,303.67
  5. Step 5: Solve for x
    x = 424,303.67/633.06
  6. Step 6: Final answer
    x = 670.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.