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Finding the Fourth Proportional to 469.18, 700.66 and 464.10

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Solution

The fourth proportional to 469.18, 700.66 and 464.10 is: 693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.18 : 700.66 = 464.10 : x
  2. Step 2: Convert to fraction form
    469.18/700.66 = 464.10/x
  3. Step 3: Cross multiply
    469.18x = 700.66 × 464.10
  4. Step 4: Simplify right side
    469.18x = 325,176.31
  5. Step 5: Solve for x
    x = 325,176.31/469.18
  6. Step 6: Final answer
    x = 693.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.