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Finding the Fourth Proportional to 523.60, 785.42 and 307.01

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Solution

The fourth proportional to 523.60, 785.42 and 307.01 is: 460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 785.42 = 307.01 : x
  2. Step 2: Convert to fraction form
    523.60/785.42 = 307.01/x
  3. Step 3: Cross multiply
    523.60x = 785.42 × 307.01
  4. Step 4: Simplify right side
    523.60x = 241,130.26
  5. Step 5: Solve for x
    x = 241,130.26/523.60
  6. Step 6: Final answer
    x = 460.53

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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.