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Finding the Fourth Proportional to 655.84, 904.50 and 435.10

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Solution

The fourth proportional to 655.84, 904.50 and 435.10 is: 600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 904.50 = 435.10 : x
  2. Step 2: Convert to fraction form
    655.84/904.50 = 435.10/x
  3. Step 3: Cross multiply
    655.84x = 904.50 × 435.10
  4. Step 4: Simplify right side
    655.84x = 393,547.95
  5. Step 5: Solve for x
    x = 393,547.95/655.84
  6. Step 6: Final answer
    x = 600.07

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