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Finding the Fourth Proportional to 307.02, 458.60 and 258.42

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Solution

The fourth proportional to 307.02, 458.60 and 258.42 is: 386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.02 : 458.60 = 258.42 : x
  2. Step 2: Convert to fraction form
    307.02/458.60 = 258.42/x
  3. Step 3: Cross multiply
    307.02x = 458.60 × 258.42
  4. Step 4: Simplify right side
    307.02x = 118,510.12
  5. Step 5: Solve for x
    x = 118,510.12/307.02
  6. Step 6: Final answer
    x = 386.00

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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.