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Finding the Fourth Proportional to 670.05, 924.34 and 473.13

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Solution

The fourth proportional to 670.05, 924.34 and 473.13 is: 652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.05 : 924.34 = 473.13 : x
  2. Step 2: Convert to fraction form
    670.05/924.34 = 473.13/x
  3. Step 3: Cross multiply
    670.05x = 924.34 × 473.13
  4. Step 4: Simplify right side
    670.05x = 437,332.98
  5. Step 5: Solve for x
    x = 437,332.98/670.05
  6. Step 6: Final answer
    x = 652.69

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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.