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Finding the Fourth Proportional to 504, 752.58 and 465.12

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Solution

The fourth proportional to 504, 752.58 and 465.12 is: 694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 752.58 = 465.12 : x
  2. Step 2: Convert to fraction form
    504/752.58 = 465.12/x
  3. Step 3: Cross multiply
    504x = 752.58 × 465.12
  4. Step 4: Simplify right side
    504x = 350,040.01
  5. Step 5: Solve for x
    x = 350,040.01/504
  6. Step 6: Final answer
    x = 694.52

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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.