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Finding the Fourth Proportional to 670.18, 924.21 and 460.59

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Solution

The fourth proportional to 670.18, 924.21 and 460.59 is: 635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.18 : 924.21 = 460.59 : x
  2. Step 2: Convert to fraction form
    670.18/924.21 = 460.59/x
  3. Step 3: Cross multiply
    670.18x = 924.21 × 460.59
  4. Step 4: Simplify right side
    670.18x = 425,681.88
  5. Step 5: Solve for x
    x = 425,681.88/670.18
  6. Step 6: Final answer
    x = 635.18

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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.