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Finding the Fourth Proportional to 504.12, 695.75 and 307.59

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Solution

The fourth proportional to 504.12, 695.75 and 307.59 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.12 : 695.75 = 307.59 : x
  2. Step 2: Convert to fraction form
    504.12/695.75 = 307.59/x
  3. Step 3: Cross multiply
    504.12x = 695.75 × 307.59
  4. Step 4: Simplify right side
    504.12x = 214,005.74
  5. Step 5: Solve for x
    x = 214,005.74/504.12
  6. Step 6: Final answer
    x = 424.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.