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Finding the Fourth Proportional to 474.51, 710.67 and 458.10

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Solution

The fourth proportional to 474.51, 710.67 and 458.10 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.51 : 710.67 = 458.10 : x
  2. Step 2: Convert to fraction form
    474.51/710.67 = 458.10/x
  3. Step 3: Cross multiply
    474.51x = 710.67 × 458.10
  4. Step 4: Simplify right side
    474.51x = 325,559.64
  5. Step 5: Solve for x
    x = 325,559.64/474.51
  6. Step 6: Final answer
    x = 686.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.