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Finding the Fourth Proportional to 505.62, 753.35 and 472.50

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Solution

The fourth proportional to 505.62, 753.35 and 472.50 is: 704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.62 : 753.35 = 472.50 : x
  2. Step 2: Convert to fraction form
    505.62/753.35 = 472.50/x
  3. Step 3: Cross multiply
    505.62x = 753.35 × 472.50
  4. Step 4: Simplify right side
    505.62x = 355,955.51
  5. Step 5: Solve for x
    x = 355,955.51/505.62
  6. Step 6: Final answer
    x = 704.00

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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.