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Finding the Fourth Proportional to 670.06, 924.67 and 407.89

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Solution

The fourth proportional to 670.06, 924.67 and 407.89 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.06 : 924.67 = 407.89 : x
  2. Step 2: Convert to fraction form
    670.06/924.67 = 407.89/x
  3. Step 3: Cross multiply
    670.06x = 924.67 × 407.89
  4. Step 4: Simplify right side
    670.06x = 377,163.65
  5. Step 5: Solve for x
    x = 377,163.65/670.06
  6. Step 6: Final answer
    x = 562.88

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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.