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Finding the Fourth Proportional to 504.58, 695.64 and 468.94

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Solution

The fourth proportional to 504.58, 695.64 and 468.94 is: 646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.58 : 695.64 = 468.94 : x
  2. Step 2: Convert to fraction form
    504.58/695.64 = 468.94/x
  3. Step 3: Cross multiply
    504.58x = 695.64 × 468.94
  4. Step 4: Simplify right side
    504.58x = 326,213.42
  5. Step 5: Solve for x
    x = 326,213.42/504.58
  6. Step 6: Final answer
    x = 646.50

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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.