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Finding the Fourth Proportional to 670.01, 924.08 and 421.25

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Solution

The fourth proportional to 670.01, 924.08 and 421.25 is: 580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.01 : 924.08 = 421.25 : x
  2. Step 2: Convert to fraction form
    670.01/924.08 = 421.25/x
  3. Step 3: Cross multiply
    670.01x = 924.08 × 421.25
  4. Step 4: Simplify right side
    670.01x = 389,261.97
  5. Step 5: Solve for x
    x = 389,261.97/670.01
  6. Step 6: Final answer
    x = 580.98

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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.