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Finding the Fourth Proportional to 525.16, 788 and 460.08

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Solution

The fourth proportional to 525.16, 788 and 460.08 is: 690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 788 = 460.08 : x
  2. Step 2: Convert to fraction form
    525.16/788 = 460.08/x
  3. Step 3: Cross multiply
    525.16x = 788 × 460.08
  4. Step 4: Simplify right side
    525.16x = 362,543.04
  5. Step 5: Solve for x
    x = 362,543.04/525.16
  6. Step 6: Final answer
    x = 690.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.