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Finding the Fourth Proportional to 313.08, 466.64 and 307.01

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Solution

The fourth proportional to 313.08, 466.64 and 307.01 is: 457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 466.64 = 307.01 : x
  2. Step 2: Convert to fraction form
    313.08/466.64 = 307.01/x
  3. Step 3: Cross multiply
    313.08x = 466.64 × 307.01
  4. Step 4: Simplify right side
    313.08x = 143,259.28
  5. Step 5: Solve for x
    x = 143,259.28/313.08
  6. Step 6: Final answer
    x = 457.58

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Why These Related Problems?

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