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Finding the Fourth Proportional to 652.34, 977.98 and 305.51

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Solution

The fourth proportional to 652.34, 977.98 and 305.51 is: 458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.34 : 977.98 = 305.51 : x
  2. Step 2: Convert to fraction form
    652.34/977.98 = 305.51/x
  3. Step 3: Cross multiply
    652.34x = 977.98 × 305.51
  4. Step 4: Simplify right side
    652.34x = 298,776.25
  5. Step 5: Solve for x
    x = 298,776.25/652.34
  6. Step 6: Final answer
    x = 458.01

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Why These Related Problems?

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